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Class 9 Geography Chapter 1 of 1

Chapter 1 — Earth as a Planet

Open the lesson Play with this chapter — pictures, sound and practice.

Overview

This opening chapter of Class 9 Geography places our home in its true setting: the Earth is one of eight planets going round an ordinary star, the Sun, at the edge of a galaxy of billions of stars. The chapter first looks at the members of the solar system, the difference between the small rocky inner planets and the giant gaseous outer planets, and why the Earth alone among them carries life. It then takes up the oldest question of geography: what is the shape of the Earth? The student learns how people once believed the Earth to be flat, what evidence, from the curved shadow on the Moon during a lunar eclipse to the photographs taken from spacecraft, proves that it is round, and why the Earth is not a perfect sphere but a slightly flattened body called a geoid. The chapter gives the exact measurements of the Earth, its equatorial and polar diameters and circumferences, and explains how Eratosthenes measured the circumference over two thousand years ago with a stick and a shadow. Finally, it discusses the size of the Earth in relation to the Moon and the Sun, its position in the habitable zone, and the conditions of temperature, atmosphere and water that make it the blue planet. Every later chapter on movements, latitude, longitude and landforms rests on the facts learned here.

Learning Objectives

  • Describe the members of the solar system and place the Earth correctly among the eight planets in order of distance from the Sun.
  • Distinguish the inner terrestrial planets from the outer Jovian planets on the basis of size, composition, density and satellites.
  • State the evidence that proves the Earth is spherical and explain each proof in simple terms.
  • Explain why the Earth is called a geoid and why it is flattened at the poles and bulging at the equator.
  • Recall the equatorial and polar diameters and circumferences of the Earth and calculate the difference between them.
  • Describe how Eratosthenes measured the circumference of the Earth and reproduce the calculation.
  • Compare the size of the Earth with the Moon and the Sun and interpret the meaning of the astronomical unit.
  • Explain the conditions of distance, temperature, atmosphere and water that make the Earth the only known planet with life.

Topics in this chapter

14 topics · tap a topic title to jump straight to it.

🌍1

The Universe, galaxies and the Sun

Everything that exists, all matter, all energy and all space, is called the universe. It is unimaginably large, and astronomers believe it has been expanding since a great burst of energy about 13.8 billion years ago, which they call the Big Bang. Within the universe, stars are not scattered evenly; they gather in enormous groups called galaxies. A galaxy may hold a hundred billion stars, and there are more than a hundred billion galaxies. Our own galaxy is the Milky Way, called Akashganga in Indian tradition because on a dark night it appears as a pale river of light across the sky. The Milky Way is a spiral galaxy about one lakh light years across, and our Sun lies in one of its arms, far from the centre.

A light year is not a unit of time but of distance: it is the distance that light, travelling at about 3,00,000 kilometres every second, covers in one year, which is roughly 9.46 trillion kilometres. Distances between stars are so great that kilometres become useless, so astronomers use the light year. The nearest star after the Sun, Proxima Centauri, is more than four light years away.

The Sun is a medium sized star, a huge ball of glowing gas, mostly hydrogen and helium. In its core hydrogen atoms fuse into helium, releasing enormous energy as heat and light. Its surface temperature is about 6,000 degrees Celsius and its core is about 15 million degrees. The Sun's diameter is about 13,92,000 kilometres, roughly 109 times that of the Earth, and its mass is about 3,30,000 times the Earth's mass; it holds 99.8 per cent of all the matter in the solar system. Light from the Sun takes about 8 minutes 20 seconds to reach us.

Because the Sun is so massive, its gravity holds the planets, dwarf planets, asteroids, comets and meteoroids in orbit around it. This whole family is the solar system. For geography the Sun matters most as the single source of energy that drives the winds, the ocean currents, the water cycle, weathering and all life on the Earth. Without the Sun's steady output over billions of years the Earth would be a frozen, dead rock. So the study of the Earth as a planet begins with its star.

📌 Examples
  • One light year = 3,00,000 km/s × 60 × 60 × 24 × 365 seconds ≈ 9.46 × 10<sup>12</sup> km. A star 4.2 light years away is about 40 trillion km away.
  • Sunlight takes 8 minutes 20 seconds to reach us: distance ≈ 3,00,000 km/s × 500 s = 15 crore km, which is the Earth–Sun distance.
  • The Sun's diameter (13,92,000 km) divided by the Earth's (12,757 km) gives about 109, so 109 Earths could be placed side by side across the Sun.
🧮 Formulas
  1. 1 light year ≈ 9.46 × 10<sup>12</sup> km (distance covered by light in one year)
  2. Speed of light ≈ 3 × 10<sup>5</sup> km per second
📊 Visual ideas
A sketch of the spiral Milky Way with the position of the Sun marked in one arm, about two thirds of the way out from the centre.
🌍2

Members of the solar system

The solar system consists of the Sun at the centre and everything bound to it by gravity. Its chief members are the eight planets, their satellites or moons, the dwarf planets, the asteroids, the comets and the meteoroids. A planet is a body that goes round the Sun, is large enough for its own gravity to pull it into a nearly round shape, and has cleared its orbit of other objects. Planets do not have light of their own; they shine only by reflecting sunlight, which is why the word planet, from the Greek for wanderer, was given to the bright points that move against the fixed stars.

In order of increasing distance from the Sun the eight planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus and Neptune. A common way to remember the order is the sentence My Very Educated Mother Just Served Us Noodles. Jupiter is the largest, with a diameter of about 1,43,000 kilometres, more than eleven times that of the Earth, and Mercury is the smallest. Until 2006 Pluto was counted as the ninth planet, but because it has not cleared its orbit it is now classed as a dwarf planet together with Ceres, Eris, Haumea and Makemake.

A satellite is a body that revolves around a planet. The Earth has one natural satellite, the Moon; Mars has two small ones, Phobos and Deimos; Jupiter and Saturn have dozens each; Mercury and Venus have none. Between the orbits of Mars and Jupiter lies the asteroid belt, a ring of rocky fragments ranging from dust to bodies hundreds of kilometres across; Ceres, the largest, is about 950 kilometres in diameter.

Comets are bodies of ice, dust and frozen gas that follow very elongated orbits. When one approaches the Sun the ice turns to vapour and forms a glowing head and a long tail that always points away from the Sun because of the solar wind. Halley's Comet returns about every 76 years and was last seen in 1986. Meteoroids are small pieces of rock or metal moving through space; when one enters the Earth's atmosphere it burns from friction and appears as a streak of light, a meteor or shooting star, and any piece that survives to reach the ground is a meteorite. The Lonar crater in Maharashtra was made by such an impact.

📌 Examples
  • Order of the planets from the Sun: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune; the Earth is the third planet.
  • Halley's Comet was seen in 1910 and 1986; its period of about 76 years means its next return is expected around 2061.
  • Jupiter's diameter (1,43,000 km) ÷ Earth's diameter (12,757 km) ≈ 11.2, so Jupiter is about eleven times wider than the Earth.
🧮 Formulas
  1. A planet: orbits the Sun, is nearly round under its own gravity, and has cleared its orbit of other bodies.
  2. A dwarf planet: orbits the Sun and is nearly round, but has not cleared its orbit (Pluto, Ceres, Eris, Haumea, Makemake).
📊 Visual ideas
A diagram of the solar system showing the Sun and the eight planetary orbits in order, with the asteroid belt drawn between Mars and Jupiter and a comet on a long elliptical orbit.
🌍3

Inner and outer planets

The eight planets fall naturally into two groups separated by the asteroid belt. The four planets closest to the Sun, Mercury, Venus, Earth and Mars, are called the inner planets or terrestrial planets, from the Latin terra meaning earth, because they resemble the Earth in being made of rock and metal. The four beyond the belt, Jupiter, Saturn, Uranus and Neptune, are the outer planets or Jovian planets, after Jove, another name of Jupiter, because they resemble Jupiter in being huge and gaseous.

The terrestrial planets are small and dense. They have solid rocky surfaces with mountains, valleys and craters, iron cores, and thin atmospheres or none at all. Their density is high, about 4 to 5.5 grams per cubic centimetre; the Earth, at 5.5, is the densest planet of all. They have few or no satellites, three moons among the four of them, and no rings. Because they are close to the Sun they are warm, and they complete their orbits quickly: Mercury goes round in 88 days and Mars in 687 days.

The Jovian planets are enormous but light. Jupiter alone has more than twice the mass of all the other planets combined, yet its density is only 1.3 grams per cubic centimetre, and Saturn, at 0.7, is lighter than water and would float in a large enough ocean. They have no solid surface; beneath thick atmospheres of hydrogen, helium, methane and ammonia lie layers of liquid and metallic hydrogen and a small rocky core. All four have ring systems, Saturn's being the most magnificent, and many satellites, Jupiter with more than ninety and Saturn with more than a hundred. Far from the Sun they are bitterly cold, and their years are long: Jupiter takes almost 12 Earth years to orbit the Sun and Neptune about 165 years.

The reason for the difference lies in how the solar system formed. Close to the young Sun, heat drove away the light gases, so only rock and metal condensed into small bodies. Far away, where it was cold, ice and gas survived and the planets grew large enough to capture huge envelopes of hydrogen and helium. Understanding this division helps the student see why the Earth, a small rocky planet at the right distance, became habitable while its neighbours did not.

📌 Examples
  • Density comparison: Earth 5.5 g/cm³, Mars 3.9 g/cm³, Jupiter 1.3 g/cm³, Saturn 0.7 g/cm³. Saturn would float on water.
  • Orbital periods: Mercury 88 days, Venus 225 days, Earth 365.25 days, Mars 687 days, Jupiter 11.9 years, Saturn 29.5 years, Uranus 84 years, Neptune 165 years.
  • Satellites: Earth 1, Mars 2, Jupiter 90+, Saturn 100+; Mercury and Venus none.
🧮 Formulas
  1. Terrestrial planets: Mercury, Venus, Earth, Mars — small, rocky, dense, few moons, no rings.
  2. Jovian planets: Jupiter, Saturn, Uranus, Neptune — large, gaseous, low density, many moons, rings.
📊 Visual ideas
A table with two columns comparing inner and outer planets by size, composition, density, number of satellites, rings and length of year.
🌍4

The Earth's place and its uniqueness

The Earth is the third planet from the Sun and the fifth largest of the eight. It lies on average about 15 crore kilometres (149.6 million km) from the Sun, a distance that astronomers call one astronomical unit and use to measure other distances in the solar system. Neptune, for instance, is about 30 astronomical units away. The Earth is not the largest planet, nor the closest to the Sun, nor the oldest; yet it is the only body we know of anywhere on which life exists. Seen from space it appears as a blue and white ball, blue from the oceans that cover 71 per cent of its surface and white from the clouds, which is why it is called the blue planet.

Several conditions together make the Earth habitable. First is its distance from the Sun. Mercury and Venus are too close and too hot; Venus, wrapped in a thick blanket of carbon dioxide, has a surface temperature of about 460 degrees Celsius. Mars and the planets beyond are too cold. The Earth lies in the narrow band, sometimes called the Goldilocks zone, where the average surface temperature, about 15 degrees Celsius, allows water to remain liquid.

Second is its atmosphere, a layer of gases held by the Earth's gravity, made up of 78 per cent nitrogen, 21 per cent oxygen and small amounts of argon, carbon dioxide and water vapour. Oxygen supports breathing and burning; the ozone in the upper atmosphere shields life from harmful ultraviolet rays; carbon dioxide and water vapour trap enough heat to keep nights from freezing; and the atmosphere burns up most meteoroids before they strike the ground.

Third is water. The Earth alone has large bodies of liquid water on its surface, without which no known form of life can exist. Fourth is its size and mass, which give gravity strong enough to hold the atmosphere and oceans but not so strong as to crush living things. Fifth, the Earth has a magnetic field produced by its molten iron core that turns aside charged particles streaming from the Sun. Finally, its steady rotation spreads heat evenly between day and night. Change any one of these and the Earth would be as barren as its neighbours.

📌 Examples
  • Average surface temperatures: Venus about 460 °C, Earth about 15 °C, Mars about −60 °C. Only on the Earth does water remain liquid over most of the surface.
  • 1 astronomical unit = 14.96 crore km. Mars at 1.5 AU is about 22.8 crore km from the Sun; Jupiter at 5.2 AU is about 78 crore km.
  • Composition of the atmosphere by volume: nitrogen 78%, oxygen 21%, argon 0.9%, carbon dioxide 0.04%.
🧮 Formulas
  1. 1 astronomical unit (AU) = mean Earth–Sun distance ≈ 14.96 crore km
  2. Conditions for life: suitable distance from the Sun, liquid water, a protective atmosphere with oxygen and ozone, moderate gravity, a magnetic field.
📊 Visual ideas
A bar chart of average surface temperature of Mercury, Venus, Earth and Mars, showing the Earth alone in the range where water is liquid.
🌍5

Early ideas about the shape of the Earth

To a person standing in an open field the Earth looks flat, stretching away to a straight horizon on every side. It is not surprising that the earliest peoples believed the Earth to be a flat disc. The ancient Babylonians thought of it as a flat plate floating on water; some early Greeks imagined a flat Earth surrounded by the river Oceanus; and in many old traditions the sky was a solid dome resting on the edges of a flat land. In India too there were ideas of a flat Earth resting on the backs of elephants standing on a tortoise, a story that still survives in folk tales. These were natural guesses made from limited experience, before anyone had travelled far enough to see the truth.

The change began with the Greeks. The mathematician Pythagoras in the sixth century BC suggested that the Earth was a sphere, partly because he thought the sphere the most perfect shape. Aristotle, about 350 BC, gave real proofs: he noted that the shadow of the Earth on the Moon during a lunar eclipse was always curved, and that travellers going south saw new stars rising above the horizon that were never visible in the north. Both are impossible on a flat Earth. About 240 BC Eratosthenes, the librarian of Alexandria, went further and actually measured the circumference of the sphere with remarkable accuracy.

Indian astronomers reached the same conclusion. Aryabhata, writing in AD 499, described the Earth as a sphere hanging in space and even proposed that it rotates on its axis, explaining the daily movement of the stars. Later Islamic scholars such as Al-Biruni, who visited India in the eleventh century, measured the Earth's radius using the dip of the horizon from a mountain top.

Yet the flat Earth idea did not die easily among ordinary people. It was the great voyages of the fifteenth and sixteenth centuries that settled the matter for everyone. When Ferdinand Magellan's expedition set out westward from Spain in 1519 and, after his death, one ship returned from the east in 1522, it had sailed right round the world, which is possible only on a globe. Since then no serious doubt has remained, and the twentieth century added the final proof: photographs of the whole Earth taken from space.

📌 Examples
  • Aristotle's argument: the Earth's shadow on the Moon in every lunar eclipse is a circular arc; only a sphere casts a circular shadow in every position.
  • Magellan's ships sailed west from Spain in 1519 and returned from the east in 1522, completing the first circumnavigation.
  • Aryabhata (AD 499) stated that the Earth is a sphere and that its rotation makes the stars appear to move westward.
📊 Visual ideas
A timeline from about 600 BC (Pythagoras) through Aristotle (350 BC), Eratosthenes (240 BC), Aryabhata (AD 499), Magellan (1519–22) to the first space photographs (1946 onwards).
🌍6

Proofs of the sphericity of the Earth: everyday evidence

Several observations that any careful person can make show that the surface of the Earth is curved in every direction, which is the property of a sphere.

1. A ship on the horizon. When a ship sails away from the shore it does not simply grow smaller until it vanishes as a dot, as it would on a flat plain. Instead the hull disappears first, then the deck, and finally the tip of the mast, as though the ship were sinking. A ship approaching the shore appears in the reverse order, mast first. This happens because the curved surface of the sea rises between the observer and the ship, hiding the lower parts first. With a telescope the hull cannot be brought back into view, proving that it is really hidden by the curvature and not merely too small to see.

2. The widening horizon. From the ground the horizon lies a few kilometres away, but from a hill top or a tall building one can see much farther, and from an aeroplane farther still. The higher one goes the more of the curved surface comes into view. On a flat Earth height would make little difference to the distance seen. The formula for the distance to the horizon in kilometres is about 3.57 times the square root of the height in metres, so from 100 metres up the horizon is about 36 kilometres away.

3. The circular horizon. From a ship in the open sea the horizon appears as a perfect circle all around, whatever direction one looks. Only a spherical surface presents a circular horizon from every point on it.

4. Sunrise and sunset at different times. The Sun rises in Arunachal Pradesh about two hours before it rises in Gujarat, and in Japan before it rises in India. If the Earth were flat the whole world would see sunrise at the same moment. Because the surface is curved, places to the east are turned towards the Sun earlier. The system of time zones, with India five and a half hours ahead of Greenwich, rests entirely on this fact.

5. Different stars at different latitudes. The Pole Star stands high in the sky at Srinagar, lower at Kanyakumari and disappears below the horizon in the southern hemisphere, where the Southern Cross becomes visible instead. As one travels north or south the sky changes because one is moving over a curved surface, and the angle of the Pole Star above the horizon equals the observer's latitude.

📌 Examples
  • Distance to the horizon ≈ 3.57 √h km, with h in metres. From a height of 100 m: 3.57 × 10 = 35.7 km. From 1,600 m (a hill): 3.57 × 40 ≈ 143 km.
  • Dibrugarh (95° E) sees sunrise nearly two hours before Dwarka (69° E): 26° of longitude × 4 minutes per degree = 104 minutes.
  • At Kolkata (about 22.5° N) the Pole Star is about 22.5° above the northern horizon; at the equator it lies on the horizon; at the South Pole it cannot be seen.
🧮 Formulas
  1. Distance to horizon (km) ≈ 3.57 × √(height in metres)
  2. Altitude of the Pole Star above the horizon = latitude of the observer (northern hemisphere)
📊 Visual ideas
A diagram of a ship moving away over a curved sea surface, showing the hull hidden first and the mast last.
A diagram of three observers at different heights on a curved Earth, each seeing a farther horizon.
🌍7

Proofs of sphericity: lunar eclipse, circumnavigation and space photographs

To the everyday evidence, three further proofs may be added, each of which is decisive in its own way.

The lunar eclipse. A lunar eclipse occurs when the Earth comes exactly between the Sun and the Moon, so that the Earth's shadow falls on the Moon. As the shadow creeps across the Moon's face its edge is always seen as an arc of a circle. This was Aristotle's proof and it remains the simplest. A flat disc could cast a circular shadow only when facing the Sun squarely; at other angles its shadow would be an ellipse or a straight line. Lunar eclipses occur at all hours of the night and in all seasons, with the Earth presenting itself to the Sun at every possible angle, and yet the shadow is circular every time. Only one shape casts a circular shadow in every direction: the sphere.

Circumnavigation. If a traveller keeps moving in one direction, say always west, and eventually comes back to the starting point from the east, the surface must be closed and curved like a globe; on a flat Earth the traveller would reach an edge or go on forever. Magellan's expedition made the first such voyage between 1519 and 1522. Since then countless ships, aircraft and even solo sailors have gone round the world, and every one has confirmed the result. Air routes and shipping lanes are drawn on the assumption of a globe and they work.

Photographs from space. The final and most direct proof came in the twentieth century. Rockets carrying cameras first photographed the curved horizon in 1946; in 1961 Yuri Gagarin became the first person to see the whole planet from orbit; and in 1972 the crew of Apollo 17 took the famous photograph called the Blue Marble, showing the complete round Earth with Africa and Antarctica in view. Today satellites photograph the Earth every hour and the images are used for weather forecasting and mapping. The pictures show a round body from every side, which settles the question beyond all argument.

The Bedford Level experiment. In 1838 a measurement was made along a straight, still stretch of canal in England, with three poles of equal height fixed at intervals of about 5 kilometres. A telescope sighted along the tops of the first and last poles showed the middle pole standing higher, because the curved surface of the water lifted it. Careful repetitions of the test, allowing for the bending of light in air, confirmed the curvature.

Together, the shadow on the Moon, the round-the-world journey and the photograph from orbit show the same thing by three completely different methods, which is why geographers treat the sphericity of the Earth as an established fact rather than a theory.

📌 Examples
  • During the lunar eclipse of 8 November 2022, visible from Kolkata at moonrise, the edge of the Earth's shadow on the Moon was a clear circular arc.
  • Apollo 17's Blue Marble photograph of 7 December 1972 shows the whole disc of the Earth with the curved edge sharply visible.
  • In the Bedford Level experiment three equal poles 5 km apart on a straight canal showed the middle pole about 1.8 m higher when sighted from end to end.
🧮 Formulas
  1. Curvature drop ≈ d² / (2R), where d is distance and R the Earth's radius; for d = 5 km, drop ≈ 25 / (2 × 6371) km ≈ 2 m.
📊 Visual ideas
A diagram of the Sun, Earth and Moon in a straight line during a lunar eclipse, with the Earth's cone-shaped shadow falling on the Moon and its circular edge shown.
🌍8

The Earth is not a perfect sphere: the geoid

Once it was accepted that the Earth is round, the next question was whether it is a perfect sphere. Isaac Newton in 1687 argued from his theory of gravitation that it could not be. A rotating body of soft or fluid material is thrown outward most strongly at its equator, where the speed of rotation is greatest, and so bulges there while flattening at the poles. The Earth spins once in about 24 hours, and its equator moves at more than 1,600 kilometres per hour, so a small but real bulge should exist. French expeditions in the 1730s measured the length of one degree of latitude near the equator in Peru and near the pole in Lapland and found that a degree is longer near the pole, which is what a flattened Earth should show. Newton was right.

The exact figures confirm it. The equatorial diameter of the Earth is about 12,757 kilometres and the polar diameter about 12,714 kilometres, a difference of 43 kilometres. The equatorial circumference is about 40,077 kilometres and the polar circumference about 40,009 kilometres, a difference of 68 kilometres. The flattening, the difference of the two radii divided by the equatorial radius, is about one part in 298. This is very small; if the Earth were shrunk to the size of a football the bulge would be too small to feel, and the Earth would be smoother than the football. But over 40,000 kilometres it matters for maps, satellites and navigation.

A sphere flattened at the poles is called an oblate spheroid. The Earth departs from even this shape a little: careful satellite measurements show that the surface of the oceans, extended imaginarily under the continents at sea level, has small humps and hollows, slightly higher in the northern hemisphere near the pole and a little pear shaped. Because no geometrical name fits exactly, scientists gave the shape its own name, geoid, which simply means earth shaped. The geoid is defined as the shape that the mean sea level surface takes under the pull of gravity and the effect of rotation, and it is the reference from which all heights on the Earth are measured.

The student should remember three statements: the Earth is nearly a sphere; it is more exactly an oblate spheroid, flattened at the poles and bulging at the equator; and most exactly it is a geoid, a shape of its own. The equatorial bulge also explains why the peak of Chimborazo in Ecuador, though lower than Everest above sea level, is the point on the Earth farthest from its centre.

📌 Examples
  • Difference of diameters: 12,757 km − 12,714 km = 43 km; difference of circumferences: 40,077 km − 40,009 km = 68 km.
  • Flattening = (6,378 − 6,357) / 6,378 = 21 / 6,378 ≈ 1/298, about 0.34 per cent.
  • Because of the bulge, a person standing at the equator is about 21 km farther from the Earth's centre than a person at the pole, and weighs slightly less.
🧮 Formulas
  1. Equatorial diameter ≈ 12,757 km; polar diameter ≈ 12,714 km; difference = 43 km
  2. Equatorial circumference ≈ 40,077 km; polar circumference ≈ 40,009 km; difference = 68 km
  3. Flattening f = (a − b) / a ≈ 1/298, where a = equatorial radius, b = polar radius
📊 Visual ideas
A diagram of the Earth as an oblate spheroid with the equatorial and polar diameters drawn and labelled, the polar flattening slightly exaggerated.
🌍9

Dimensions of the Earth

A Class 9 student is expected to know the main measurements of the Earth exactly, because later work on latitude, longitude, time and map scale depends on them. The figures below are the accepted values, rounded to whole kilometres.

MeasurementValue
Equatorial diameter12,757 km
Polar diameter12,714 km
Mean diameter12,742 km
Equatorial radius6,378 km
Polar radius6,357 km
Mean radius6,371 km
Equatorial circumference40,077 km
Polar circumference40,009 km
Total surface area51 crore sq km (510 million sq km)
Land area14.9 crore sq km (29%)
Water area36.1 crore sq km (71%)
Mass5.97 × 1024 kg
Mean density5.5 g/cm³
Mean distance from Sun14.96 crore km

The radius is half the diameter, so the equatorial radius is about 6,378 kilometres and the polar radius about 6,357 kilometres, a difference of 21 kilometres. The mean radius of 6,371 kilometres is the value used in most calculations. The circumference is the distance round the Earth; since it equals 2πr, the equatorial circumference is 2 × 3.14 × 6,378, about 40,077 kilometres. A useful memory aid is that the metre was originally defined as one ten millionth of the distance from the pole to the equator along a meridian, which makes the polar circumference almost exactly 40,000 kilometres.

From the circumference the student can work out the length of one degree of latitude or longitude at the equator: 40,077 divided by 360 gives about 111 kilometres. This figure appears again and again in the chapters on location and time. The surface area of a sphere is 4πr², which with the mean radius gives about 51 crore square kilometres; of this only 29 per cent is land and 71 per cent is water, most of it in the southern hemisphere, which is sometimes called the water hemisphere. The Earth's mass, about 6 × 1024 kilograms, and its mean density of 5.5 grams per cubic centimetre tell us that the interior must be much denser than the surface rocks, which average only 2.7, pointing to a heavy iron core.

📌 Examples
  • Equatorial circumference = 2πr = 2 × 3.14 × 6,378 ≈ 40,054 km, close to the measured 40,077 km.
  • Length of 1° of longitude at the equator = 40,077 ÷ 360 ≈ 111.3 km; 1 minute of arc ≈ 1.85 km, which is one nautical mile.
  • Surface area = 4πr² = 4 × 3.14 × 6,371² ≈ 51 crore sq km; water 71% ≈ 36 crore sq km.
🧮 Formulas
  1. Radius = diameter ÷ 2; circumference = 2πr; surface area = 4πr²
  2. 1° of latitude ≈ 111 km; 1 nautical mile = 1 minute of arc ≈ 1.85 km
  3. Land : water = 29 : 71
📊 Visual ideas
A labelled cross-section of the Earth showing the equatorial radius (6,378 km) and the polar radius (6,357 km).
🌍10

Eratosthenes measures the Earth

The first accurate measurement of the size of the Earth was made about 240 BC by Eratosthenes, a Greek scholar who was head of the great library at Alexandria in Egypt. His method is a beautiful example of how simple observation and geometry can answer a question that seems impossible, and it is worth learning step by step.

Eratosthenes knew that at the town of Syene (modern Aswan) in southern Egypt, at noon on the day of the summer solstice, the Sun stood exactly overhead: it shone straight down a deep well and a vertical stick cast no shadow. He also knew that at the same moment in Alexandria, almost due north of Syene, a vertical stick did cast a shadow. Measuring the angle between the stick and the ray of sunlight from the tip of its shadow, he found it to be about 7.2 degrees, which is one fiftieth of a full circle of 360 degrees.

He then reasoned as follows. The Sun is so far away that its rays reaching Syene and Alexandria are parallel. If the Earth were flat, both sticks would cast shadows of the same angle. The difference of 7.2 degrees must therefore be due to the curvature of the Earth; it is exactly the angle at the centre of the Earth between the two towns. Since 7.2 degrees is one fiftieth of the circle, the distance from Syene to Alexandria must be one fiftieth of the circumference of the Earth.

The distance between the two towns was known to be about 5,000 stadia, measured by professional pacers who walked the road. Multiplying by 50 gave a circumference of 2,50,000 stadia. The exact length of the stadion is uncertain, but taking it as about 157 metres the result is about 39,250 kilometres, within two per cent of the true value of 40,009 kilometres for the polar circumference. Even with a longer stadion the error is below 15 per cent, an astonishing result for the time.

The method has three requirements: two places on nearly the same meridian, a measurement of the Sun's angle at both at the same moment, and the ground distance between them. The same principle is used today with stars instead of the Sun and satellites instead of pacers. The importance of the experiment is not only its result but its demonstration that the size of the Earth can be found by reasoning from evidence, which is the method of all science.

📌 Examples
  • Angle at Alexandria 7.2°; 360° ÷ 7.2° = 50; distance Syene–Alexandria 5,000 stadia; circumference = 5,000 × 50 = 2,50,000 stadia.
  • Taking 1 stadion = 157 m: 2,50,000 × 0.157 km = 39,250 km, about 2% below the modern value of 40,009 km.
  • A modern check: Syene at 24° N and Alexandria at 31° N differ by about 7° of latitude; 7 × 111 km = 777 km, close to the 5,000 stadia (785 km) Eratosthenes used.
🧮 Formulas
  1. Circumference = (360° ÷ angle difference) × ground distance between the two places
  2. Circumference = (360 / 7.2) × 5,000 stadia = 2,50,000 stadia
📊 Visual ideas
A diagram of the Earth with Syene and Alexandria on the same meridian, parallel sun rays, a vertical stick at each place, and the 7.2° shadow angle at Alexandria shown equal to the angle at the Earth's centre.
🌍11

The Earth compared with the Moon and the Sun

To picture the Earth as a planet it helps to set it beside its two closest companions in the sky, the Moon and the Sun.

The Moon is the Earth's only natural satellite and the only other body that human beings have visited. Its diameter is about 3,476 kilometres, a little more than a quarter of the Earth's, so about fifty Moons would fit inside the Earth by volume. Its mass is about one eightieth of the Earth's, and its surface gravity is one sixth of ours, which is why astronauts on the Moon could bound in long leaps. It lies on average about 3,84,400 kilometres away, roughly thirty Earth diameters; light takes 1.3 seconds to cover the distance and a spacecraft about three days. The Moon has no atmosphere and no water on its surface, so its sky is black even in daytime and its temperature swings from about 120 degrees Celsius in sunlight to minus 150 in shadow. The Moon revolves round the Earth once in about 27.3 days and, because it rotates on its axis in the same time, always keeps the same face towards us. Its gravitational pull raises the tides in the oceans, a matter taken up in the chapter on movements.

The Sun is at the other extreme of scale. Its diameter of about 13,92,000 kilometres is 109 times the Earth's, and its volume about 13 lakh times, so 13 lakh Earths would be needed to fill it. Its mass is 3,30,000 times the Earth's. It is about 15 crore kilometres away, 400 times farther than the Moon; by a coincidence the Sun is also about 400 times wider than the Moon, so the two appear almost exactly the same size in our sky, which is why a total solar eclipse is possible when the Moon just covers the Sun's disc.

The table below sums up the comparison.

MoonEarthSun
Diameter3,476 km12,757 km13,92,000 km
Mass (Earth = 1)1/8113,30,000
Surface gravity (Earth = 1)1/6128
Distance from Earth3,84,400 km—14.96 crore km
Light travel time1.3 seconds—8 min 20 s

The lesson of these numbers is one of proportion. The Earth is a giant beside the Moon and a speck beside the Sun, and the Sun itself is an ordinary star among billions. Yet this middle sized planet at a middle distance is where the conditions for life came together.

📌 Examples
  • Earth's diameter ÷ Moon's diameter = 12,757 ÷ 3,476 ≈ 3.7; the Moon is a little more than a quarter the Earth's width.
  • Sun's diameter ÷ Earth's diameter = 13,92,000 ÷ 12,757 ≈ 109.
  • Sun–Earth distance ÷ Moon–Earth distance = 14,96,00,000 ÷ 3,84,400 ≈ 389, about 400, matching the ratio of their diameters, which is why they look the same size.
🧮 Formulas
  1. Moon: diameter 3,476 km, distance 3,84,400 km, period 27.3 days, gravity 1/6 of Earth's
  2. Sun: diameter 13,92,000 km (109 × Earth), distance 14.96 crore km, mass 3,30,000 × Earth
📊 Visual ideas
A scale drawing of the Earth (diameter 12,757 km) and the Moon (diameter 3,476 km) as circles in the ratio 3.7 : 1, with the Sun's edge drawn as a huge arc for comparison.
🌍12

Gravity, mass and density of the Earth

Every planet holds itself together, holds its atmosphere and holds its satellites by gravity, the force of attraction that every mass exerts on every other. Newton showed that the force between two bodies grows with their masses and falls off with the square of the distance between them. Because the Earth is large its gravity is strong enough to give a falling body an acceleration of about 9.8 metres per second every second, written as g. This is why objects fall, why the atmosphere does not escape into space and why the Moon stays in orbit instead of flying off in a straight line.

The mass of the Earth cannot be weighed directly, but it can be calculated from g and the radius once the gravitational constant is known, a measurement first made by Henry Cavendish in 1798. The result is about 5.97 × 1024 kilograms, nearly six thousand billion billion tonnes. Dividing this mass by the Earth's volume gives its mean density, about 5.5 grams per cubic centimetre, that is five and a half times the density of water. This is the highest of all the planets and it tells us something important: the rocks we can see at the surface have a density of only 2.7 to 3.0, so the interior must be far heavier. Scientists conclude that the Earth has a core of iron and nickel with a density above 10, surrounded by a rocky mantle, a structure discussed in the chapter on geomorphic processes.

Gravity also explains the Earth's shape. A body as massive as the Earth cannot hold itself up as a cube or a disc; gravity pulls every part towards the centre until the only stable shape, a sphere, is reached. This is why all large planets and stars are round while small asteroids, whose gravity is too weak, remain irregular lumps. The rotation of the Earth then modifies the sphere into the oblate spheroid described earlier.

Because of the equatorial bulge and the outward push of rotation, g is not the same everywhere. It is about 9.78 metres per second squared at the equator and 9.83 at the poles. A person weighing 60 kilograms at the pole would weigh about 300 grams less at the equator on a spring balance. Gravity also decreases with height above the surface, though very slowly: on the summit of Everest it is only about 0.3 per cent less than at sea level. Escape velocity, the speed needed to leave the Earth altogether, is about 11.2 kilometres per second, which is what rockets must reach to send satellites and probes into space.

📌 Examples
  • Volume of the Earth = (4/3)πr³ = (4/3) × 3.14 × (6,371 km)³ ≈ 1.08 × 10<sup>12</sup> km³; mass ÷ volume = 5.97 × 10<sup>24</sup> kg ÷ 1.08 × 10<sup>21</sup> m³ ≈ 5,500 kg/m³ = 5.5 g/cm³.
  • Surface rock density about 2.7 g/cm³ versus mean density 5.5 g/cm³, so the core must be much denser than 5.5, about 10–13 g/cm³.
  • g at equator 9.78 m/s², at poles 9.83 m/s²; the difference of 0.05 m/s² is about 0.5 per cent.
🧮 Formulas
  1. Acceleration due to gravity g ≈ 9.8 m/s² (9.78 at the equator, 9.83 at the poles)
  2. Mean density = mass ÷ volume ≈ 5.5 g/cm³
  3. Escape velocity from the Earth ≈ 11.2 km/s
📊 Visual ideas
A cross-section of the Earth showing the crust (density 2.7–3.0), mantle (3.3–5.5) and core (10–13) with the mean density of 5.5 noted.
🌍13

The Earth as a system: atmosphere, hydrosphere, lithosphere and biosphere

Seen as a planet, the Earth is more than a ball of rock. It is made up of four interacting spheres, and geography is largely the study of how they act on one another.

The lithosphere, from the Greek lithos meaning stone, is the solid outer shell of the Earth: the crust and the uppermost rigid part of the mantle, about 100 kilometres thick, broken into the great plates on which the continents and ocean floors ride. It carries the mountains, plateaus and plains that later chapters describe. The continental crust, made largely of light granite type rocks, is 30 to 70 kilometres thick; the oceanic crust of dense basalt is only 5 to 10 kilometres.

The hydrosphere is all the water of the Earth: the oceans, seas, rivers, lakes, ground water, glaciers and ice caps. Water covers 71 per cent of the surface, and 97 per cent of it is salt water in the oceans; of the 3 per cent that is fresh, more than two thirds is locked in ice, leaving less than 1 per cent of all water as the rivers, lakes and ground water on which people depend. The Pacific alone is larger than all the land on the Earth put together.

The atmosphere is the envelope of gases held by gravity, densest at the surface and thinning upward until it merges into space at about 1,000 kilometres, though 99 per cent of its mass lies below 32 kilometres. It supplies oxygen, carries water vapour, moderates temperature and shields the surface from ultraviolet rays and meteoroids. The lowest layer, the troposphere, is where all weather occurs.

The biosphere is the zone of life: the narrow band, only about 20 kilometres from the deepest ocean trench to the highest point at which birds fly, where the other three spheres meet and living things exist. It is by far the thinnest of the spheres and the one that makes the Earth unique.

The spheres are bound together by constant exchange. The Sun heats the atmosphere and the oceans, driving winds and currents; water evaporates from the hydrosphere, falls as rain on the lithosphere, wears down the rocks and returns to the sea; plants of the biosphere take carbon dioxide from the air and release oxygen; volcanoes of the lithosphere add gases to the atmosphere. Because the parts work together the Earth is called a system. This idea is the thread that runs through the whole of Class 9 geography: the chapters on movements, weathering, hazards and resources are each about one part of the system and its links to the rest.

📌 Examples
  • Of all water: oceans 97%; ice 2%; ground water, rivers, lakes and vapour about 1%. If all the Earth's water were 100 litres, less than 1 litre would be usable fresh water.
  • The water cycle links three spheres: evaporation from the sea (hydrosphere) into the air (atmosphere), rain onto the land (lithosphere) and rivers back to the sea.
  • The biosphere spans about 20 km: from the Mariana Trench at about 11 km below sea level to about 9 km above, where migrating bar-headed geese cross the Himalaya.
🧮 Formulas
  1. Lithosphere: crust + upper rigid mantle ≈ 100 km thick; continental crust 30–70 km, oceanic crust 5–10 km
  2. Hydrosphere: 71% of surface; 97% salt water, 3% fresh water
📊 Visual ideas
A diagram of four overlapping circles labelled lithosphere, hydrosphere, atmosphere and biosphere, with the biosphere at the centre where all three meet, and arrows showing the water cycle and the exchange of gases.
🌍14

Revision map: what to remember for the examination

This chapter is examined through very short answer questions on facts and figures, short answer questions on proofs and definitions, and one or two longer descriptive questions. The following summary gathers the points most often asked.

Facts to recall exactly. The Sun is a star; the Earth is the third planet from the Sun and the fifth largest. The eight planets in order are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus and Neptune; Jupiter is the largest and Mercury the smallest; Venus is the hottest. The inner four are terrestrial and the outer four Jovian. Pluto has been a dwarf planet since 2006. The Moon's diameter is 3,476 kilometres and its distance 3,84,400 kilometres; the Sun's diameter is 13,92,000 kilometres and its distance about 15 crore kilometres, which is one astronomical unit. Sunlight takes 8 minutes 20 seconds to reach us.

Figures of the Earth. Equatorial diameter 12,757 kilometres; polar diameter 12,714 kilometres; difference 43 kilometres. Equatorial circumference 40,077 kilometres; polar circumference 40,009 kilometres; difference 68 kilometres. Mean radius 6,371 kilometres. Surface area 51 crore square kilometres, of which 29 per cent is land and 71 per cent water. Mean density 5.5 grams per cubic centimetre. One degree of latitude is about 111 kilometres.

Definitions. A geoid is the Earth's own shape, an almost spherical body flattened at the poles and bulging at the equator, defined by mean sea level. An oblate spheroid is a sphere flattened at the poles. A light year is the distance light travels in one year. An astronomical unit is the mean Earth–Sun distance. A satellite is a body revolving round a planet. A lunar eclipse occurs when the Earth's shadow falls on the Moon.

Proofs of sphericity, any three of which may be asked with explanation: the ship disappearing hull first; the horizon widening with height; the circular horizon at sea; sunrise at different times in the east and west; the changing altitude of the Pole Star; the circular shadow in a lunar eclipse; circumnavigation; the Bedford Level experiment; photographs from space.

Reasoning questions. Why is the Earth flattened at the poles? Because of the outward effect of rotation at the equator. Why is the Earth called the blue planet? Because 71 per cent of its surface is water, which appears blue from space. Why is there life only on the Earth? Because of suitable distance from the Sun, liquid water, an atmosphere with oxygen and ozone, and moderate temperature. How did Eratosthenes measure the Earth? By comparing the Sun's noon angle at Syene and Alexandria, 7.2 degrees, one fiftieth of a circle, and multiplying the 5,000 stadia between them by 50. Practise writing each of these in four or five clear sentences with the figures included, because marks are given for exact numbers.

📌 Examples
  • Typical 2-mark question: State two proofs that the Earth is round. Answer with the ship on the horizon and the circular shadow during a lunar eclipse, one sentence of explanation each.
  • Typical 5-mark question: Describe with a diagram how Eratosthenes measured the circumference of the Earth. Draw the two towns, the parallel rays and the 7.2° angle, then give the calculation.
  • Typical 1-mark questions: Which is the largest planet? (Jupiter) The difference between the equatorial and polar diameters? (43 km) The shape of the Earth? (geoid)
🧮 Formulas
  1. Difference of diameters = 12,757 − 12,714 = 43 km; difference of circumferences = 40,077 − 40,009 = 68 km

Key Concepts

Universe
The totality of all matter, energy, space and time, believed to have begun with the Big Bang about 13.8 billion years ago.
Galaxy
A vast system of billions of stars, gas and dust held together by gravity; ours is the Milky Way.
Light year
The distance light travels in one year, about 9.46 trillion kilometres, used to measure distances between stars.
Solar system
The Sun together with the eight planets, their satellites, dwarf planets, asteroids, comets and meteoroids bound to it by gravity.
Planet
A body that orbits the Sun, is nearly round under its own gravity and has cleared its orbit of other objects; it shines only by reflected sunlight.
Terrestrial planets
The four small, dense, rocky inner planets Mercury, Venus, Earth and Mars.
Jovian planets
The four large, low density gaseous outer planets Jupiter, Saturn, Uranus and Neptune, all with rings and many moons.
Dwarf planet
A body such as Pluto that orbits the Sun and is nearly round but has not cleared its orbit.
Satellite
A body that revolves round a planet, such as the Moon round the Earth.
Astronomical unit
The mean distance between the Earth and the Sun, about 14.96 crore kilometres.
Blue planet
A name for the Earth because 71 per cent of its surface is covered by water that appears blue from space.
Sphericity
The property of being round like a sphere, proved for the Earth by the ship on the horizon, lunar eclipses, circumnavigation and space photographs.
Oblate spheroid
A sphere flattened at the poles and bulging at the equator, the shape produced by the Earth's rotation.
Geoid
The Earth's own unique shape, defined by the mean sea level surface under gravity and rotation, nearly spherical but slightly flattened at the poles.
Equatorial diameter
The distance through the centre of the Earth from one point on the equator to the opposite point, about 12,757 kilometres.
Polar diameter
The distance through the centre of the Earth from the North Pole to the South Pole, about 12,714 kilometres, 43 kilometres less than the equatorial diameter.
Circumference
The distance round the Earth, about 40,077 kilometres along the equator and 40,009 kilometres through the poles.
Lunar eclipse
The darkening of the Moon when the Earth passes between the Sun and the Moon and casts its circular shadow on it.
Circumnavigation
A journey right round the Earth in one direction returning to the starting point, first completed by Magellan's expedition in 1522.
Biosphere
The narrow zone where the lithosphere, hydrosphere and atmosphere meet and in which all life exists.

End-of-Chapter Trial Paper & Test Questions

Topic-wise questions to test your understanding of every concept in this chapter.

  1. Name the eight planets of the solar system in order of their distance from the Sun. Which of them is the largest and which the smallest? / सौरमंडल के आठ ग्रहों के नाम सूर्य से दूरी के क्रम में लिखिए। इनमें सबसे बड़ा और सबसे छोटा ग्रह कौन सा है?
    Show answer

    In order of increasing distance from the Sun the planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus and Neptune. The first four are the small rocky terrestrial planets and the last four the giant gaseous Jovian planets, separated by the asteroid belt. Jupiter is the largest planet, with a diameter of about 1,43,000 kilometres, more than eleven times that of the Earth; Mercury is the smallest, with a diameter of about 4,880 kilometres. The Earth is the third planet from the Sun and the fifth largest. / सूर्य से बढ़ती दूरी के क्रम में ग्रह हैं: बुध, शुक्र, पृथ्वी, मंगल, बृहस्पति, शनि, अरुण (यूरेनस) और वरुण (नेपच्यून)। पहले चार छोटे चट्टानी पार्थिव ग्रह हैं और अंतिम चार विशाल गैसीय बृहस्पति-सदृश ग्रह हैं, जिनके बीच क्षुद्रग्रह पट्टी है। बृहस्पति सबसे बड़ा ग्रह है, जिसका व्यास लगभग 1,43,000 किलोमीटर है, जो पृथ्वी के व्यास का ग्यारह गुने से भी अधिक है; बुध सबसे छोटा ग्रह है, जिसका व्यास लगभग 4,880 किलोमीटर है। पृथ्वी सूर्य से तीसरा ग्रह और आकार में पाँचवाँ सबसे बड़ा ग्रह है।

  2. Distinguish between the terrestrial and the Jovian planets on any four points. / पार्थिव ग्रहों और बृहस्पति-सदृश ग्रहों में किन्हीं चार बिंदुओं पर अंतर बताइए।
    Show answer

    The terrestrial planets Mercury, Venus, Earth and Mars lie inside the asteroid belt; the Jovian planets Jupiter, Saturn, Uranus and Neptune lie outside it. First, in size: terrestrial planets are small, while Jovian planets are giants, Jupiter being eleven times wider than the Earth. Second, in composition: terrestrial planets are made of rock and metal with solid surfaces, while Jovian planets are mostly hydrogen and helium with no solid surface. Third, in density: terrestrial planets are dense, 4 to 5.5 g/cm³, while Jovian planets are light, 0.7 to 1.7 g/cm³, Saturn being lighter than water. Fourth, in satellites and rings: terrestrial planets have three moons among them and no rings, while every Jovian planet has rings and many moons. They also differ in temperature and length of year, the outer planets being cold and slow. / पार्थिव ग्रह बुध, शुक्र, पृथ्वी और मंगल क्षुद्रग्रह पट्टी के अंदर हैं; बृहस्पति-सदृश ग्रह बृहस्पति, शनि, अरुण और वरुण उसके बाहर हैं। पहला, आकार में: पार्थिव ग्रह छोटे हैं जबकि बृहस्पति-सदृश ग्रह विशाल हैं, बृहस्पति पृथ्वी से ग्यारह गुना चौड़ा है। दूसरा, संरचना में: पार्थिव ग्रह चट्टान और धातु के बने हैं और उनकी सतह ठोस है, जबकि बृहस्पति-सदृश ग्रह मुख्यतः हाइड्रोजन और हीलियम के बने हैं और उनकी कोई ठोस सतह नहीं है। तीसरा, घनत्व में: पार्थिव ग्रह घने हैं, 4 से 5.5 ग्राम/घन सेमी, जबकि बृहस्पति-सदृश ग्रह हल्के हैं, 0.7 से 1.7 ग्राम/घन सेमी, शनि तो पानी से भी हल्का है। चौथा, उपग्रहों और वलयों में: चारों पार्थिव ग्रहों के कुल तीन चंद्रमा हैं और कोई वलय नहीं, जबकि हर बृहस्पति-सदृश ग्रह के वलय और अनेक चंद्रमा हैं। तापमान और वर्ष की लंबाई में भी अंतर है, बाहरी ग्रह ठंडे और धीमे हैं।

  3. Why is the Earth called the blue planet? / पृथ्वी को नीला ग्रह क्यों कहा जाता है?
    Show answer

    The Earth is called the blue planet because about 71 per cent of its surface is covered by the water of the oceans and seas. Water absorbs the red part of sunlight and reflects the blue part, so when the Earth is seen from space, as in the photographs taken by astronauts, the great oceans appear deep blue, broken by the brown and green of the continents and the white of clouds and ice. No other planet in the solar system has liquid water on its surface, so no other planet looks blue in this way. The name also reminds us that water is the feature that makes life possible on the Earth. / पृथ्वी को नीला ग्रह इसलिए कहा जाता है क्योंकि इसकी सतह का लगभग 71 प्रतिशत भाग महासागरों और समुद्रों के जल से ढका है। जल सूर्य के प्रकाश के लाल भाग को सोख लेता है और नीले भाग को परावर्तित करता है, इसलिए जब अंतरिक्ष से पृथ्वी को देखा जाता है, जैसा कि अंतरिक्ष यात्रियों के चित्रों में दिखता है, विशाल महासागर गहरे नीले दिखाई देते हैं, जिनके बीच महाद्वीपों का भूरा-हरा रंग और बादलों तथा बर्फ का सफेद रंग है। सौरमंडल के किसी अन्य ग्रह की सतह पर द्रव जल नहीं है, इसलिए कोई अन्य ग्रह इस प्रकार नीला नहीं दिखता। यह नाम हमें यह भी याद दिलाता है कि जल ही वह विशेषता है जो पृथ्वी पर जीवन को संभव बनाती है।

  4. Explain any three proofs that the Earth is spherical. / पृथ्वी के गोल होने के किन्हीं तीन प्रमाणों की व्याख्या कीजिए।
    Show answer

    First, when a ship sails away from the shore its hull disappears first and the top of the mast last, as if it were sinking; this happens because the curved surface of the sea rises between the observer and the ship and hides the lower parts first. Second, during a lunar eclipse, when the Earth comes between the Sun and the Moon, the edge of the Earth's shadow on the Moon is always a circular arc; only a sphere casts a circular shadow in every position, so the Earth must be a sphere. Third, ships and aircraft that keep travelling in one direction, as Magellan's expedition did between 1519 and 1522, return to the starting point from the opposite direction; this circumnavigation is possible only on a globe. Photographs taken from space, which show the Earth as a round ball, are the most direct proof of all. / पहला, जब कोई जहाज तट से दूर जाता है तो पहले उसका निचला भाग और अंत में मस्तूल का सिरा ओझल होता है, मानो वह डूब रहा हो; ऐसा इसलिए होता है क्योंकि समुद्र की वक्र सतह दर्शक और जहाज के बीच उठकर पहले निचले भागों को छिपा लेती है। दूसरा, चंद्रग्रहण के समय, जब पृथ्वी सूर्य और चंद्रमा के बीच आती है, चंद्रमा पर पड़ने वाली पृथ्वी की छाया का किनारा सदैव वृत्ताकार चाप होता है; केवल गोला ही हर स्थिति में वृत्ताकार छाया डालता है, अतः पृथ्वी गोल है। तीसरा, जो जहाज और विमान एक ही दिशा में चलते रहते हैं, जैसा मैगेलन के अभियान ने 1519 से 1522 के बीच किया, वे विपरीत दिशा से प्रारंभिक स्थान पर लौट आते हैं; यह परिक्रमा केवल गोले पर ही संभव है। अंतरिक्ष से लिए गए चित्र, जो पृथ्वी को एक गोल पिंड दिखाते हैं, सबसे प्रत्यक्ष प्रमाण हैं।

  5. What is a geoid? Why is the Earth flattened at the poles and bulging at the equator? / जियॉइड क्या है? पृथ्वी ध्रुवों पर चपटी और विषुवत रेखा पर उभरी हुई क्यों है?
    Show answer

    A geoid is the Earth's own shape: an almost spherical body slightly flattened at the poles and bulging at the equator, defined by the surface that mean sea level would take if extended under the continents. Because it fits no exact geometrical figure, it is given its own name, meaning earth shaped. The Earth has this form because it rotates on its axis once in 24 hours. Rotation is fastest at the equator, where the surface moves at more than 1,600 kilometres per hour, and the outward centrifugal effect there pushes the material of the Earth away from the axis, producing a bulge. At the poles there is no such effect, so the Earth is flattened there. As a result the equatorial diameter, 12,757 kilometres, is 43 kilometres greater than the polar diameter of 12,714 kilometres. / जियॉइड पृथ्वी की अपनी आकृति है: एक लगभग गोलाकार पिंड जो ध्रुवों पर थोड़ा चपटा और विषुवत रेखा पर उभरा हुआ है, और जिसे उस सतह से परिभाषित किया जाता है जो औसत समुद्र तल महाद्वीपों के नीचे बढ़ाए जाने पर लेता। चूँकि यह किसी ज्यामितीय आकृति से ठीक मेल नहीं खाती, इसे अपना नाम दिया गया है, जिसका अर्थ है पृथ्वी के आकार का। पृथ्वी का यह रूप इसलिए है क्योंकि वह अपनी धुरी पर 24 घंटे में एक चक्कर लगाती है। घूर्णन विषुवत रेखा पर सबसे तेज है, जहाँ सतह 1,600 किलोमीटर प्रति घंटे से अधिक गति से चलती है, और वहाँ का बाहरी अपकेंद्री प्रभाव पृथ्वी के पदार्थ को धुरी से दूर धकेलता है, जिससे उभार बनता है। ध्रुवों पर ऐसा प्रभाव नहीं होता, इसलिए पृथ्वी वहाँ चपटी है। परिणामस्वरूप विषुवतीय व्यास 12,757 किलोमीटर, ध्रुवीय व्यास 12,714 किलोमीटर से 43 किलोमीटर अधिक है।

  6. State the equatorial and polar diameters and circumferences of the Earth and find the difference in each case. / पृथ्वी के विषुवतीय और ध्रुवीय व्यास तथा परिधि बताइए और प्रत्येक का अंतर ज्ञात कीजिए।
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    The equatorial diameter of the Earth is about 12,757 kilometres and the polar diameter about 12,714 kilometres, so the difference is 12,757 minus 12,714, that is 43 kilometres. The equatorial circumference is about 40,077 kilometres and the polar circumference about 40,009 kilometres, so the difference is 40,077 minus 40,009, that is 68 kilometres. In both cases the equatorial figure is the larger because the Earth bulges at the equator and is flattened at the poles owing to its rotation. The differences are small, about one part in 300, which is why the Earth is nearly a sphere and is described as an oblate spheroid or geoid. / पृथ्वी का विषुवतीय व्यास लगभग 12,757 किलोमीटर और ध्रुवीय व्यास लगभग 12,714 किलोमीटर है, अतः अंतर 12,757 घटा 12,714 अर्थात 43 किलोमीटर है। विषुवतीय परिधि लगभग 40,077 किलोमीटर और ध्रुवीय परिधि लगभग 40,009 किलोमीटर है, अतः अंतर 40,077 घटा 40,009 अर्थात 68 किलोमीटर है। दोनों ही मामलों में विषुवतीय आँकड़ा बड़ा है क्योंकि घूर्णन के कारण पृथ्वी विषुवत रेखा पर उभरी हुई और ध्रुवों पर चपटी है। ये अंतर छोटे हैं, लगभग 300 में एक भाग, इसीलिए पृथ्वी लगभग गोलाकार है और इसे चपटा गोलाभ या जियॉइड कहा जाता है।

  7. Describe how Eratosthenes measured the circumference of the Earth. / एराटोस्थनीज ने पृथ्वी की परिधि कैसे मापी, वर्णन कीजिए।
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    About 240 BC Eratosthenes, the librarian of Alexandria in Egypt, observed that at noon on the summer solstice the Sun was exactly overhead at Syene, where a vertical stick cast no shadow and sunlight reached the bottom of a deep well. At the same moment at Alexandria, almost due north of Syene, a vertical stick cast a shadow making an angle of 7.2 degrees with the sunlight. Since the Sun's rays are parallel, this angle must equal the angle at the centre of the Earth between the two towns. As 7.2 degrees is one fiftieth of 360 degrees, the distance from Syene to Alexandria, known to be about 5,000 stadia, must be one fiftieth of the Earth's circumference. Multiplying 5,000 by 50 he obtained 2,50,000 stadia, which is about 39,250 kilometres, within two per cent of the true value of about 40,000 kilometres. / लगभग 240 ईसा पूर्व मिस्र के अलेक्जेंड्रिया के पुस्तकालयाध्यक्ष एराटोस्थनीज ने देखा कि ग्रीष्म संक्रांति के दिन दोपहर में सूर्य साइनी में ठीक सिर के ऊपर होता है, जहाँ खड़ी छड़ी की कोई छाया नहीं बनती और सूर्य का प्रकाश गहरे कुएँ की तली तक पहुँचता है। उसी क्षण साइनी के लगभग ठीक उत्तर में स्थित अलेक्जेंड्रिया में खड़ी छड़ी की छाया सूर्य की किरण से 7.2 डिग्री का कोण बनाती थी। चूँकि सूर्य की किरणें समानांतर हैं, यह कोण पृथ्वी के केंद्र पर दोनों नगरों के बीच बने कोण के बराबर होना चाहिए। चूँकि 7.2 डिग्री 360 डिग्री का पचासवाँ भाग है, साइनी से अलेक्जेंड्रिया की दूरी, जो लगभग 5,000 स्टेडिया ज्ञात थी, पृथ्वी की परिधि का पचासवाँ भाग होनी चाहिए। 5,000 को 50 से गुणा करके उन्होंने 2,50,000 स्टेडिया प्राप्त किया, जो लगभग 39,250 किलोमीटर है और लगभग 40,000 किलोमीटर के वास्तविक मान से दो प्रतिशत के भीतर है।

  8. What conditions make the Earth the only planet known to support life? / कौन सी परिस्थितियाँ पृथ्वी को जीवन का समर्थन करने वाला एकमात्र ज्ञात ग्रह बनाती हैं?
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    Several conditions act together. The Earth lies at a suitable distance from the Sun, about 15 crore kilometres, so its average temperature of about 15 degrees Celsius is neither too hot like Venus nor too cold like Mars, and water can remain liquid. It has abundant water, covering 71 per cent of the surface, without which no known life can exist. It has an atmosphere containing 21 per cent oxygen for breathing, a layer of ozone that screens out harmful ultraviolet rays, and enough carbon dioxide and water vapour to trap heat and keep nights from freezing. Its size gives gravity strong enough to hold this atmosphere and the oceans. Its magnetic field turns away harmful charged particles from the Sun, and its rotation spreads heat between day and night. / कई परिस्थितियाँ मिलकर काम करती हैं। पृथ्वी सूर्य से उपयुक्त दूरी पर है, लगभग 15 करोड़ किलोमीटर, इसलिए इसका औसत तापमान लगभग 15 डिग्री सेल्सियस है, जो न शुक्र की तरह बहुत गर्म है और न मंगल की तरह बहुत ठंडा, और जल द्रव अवस्था में रह सकता है। इस पर प्रचुर जल है, जो सतह के 71 प्रतिशत भाग को ढकता है और जिसके बिना कोई ज्ञात जीवन संभव नहीं। इसका वायुमंडल साँस लेने के लिए 21 प्रतिशत ऑक्सीजन, हानिकारक पराबैंगनी किरणों को रोकने वाली ओजोन परत, और रातों को जमने से बचाने के लिए पर्याप्त कार्बन डाइऑक्साइड तथा जलवाष्प रखता है। इसका आकार इतना गुरुत्व देता है कि वायुमंडल और महासागर टिके रहें। इसका चुंबकीय क्षेत्र सूर्य से आने वाले हानिकारक आवेशित कणों को मोड़ देता है और इसका घूर्णन दिन और रात के बीच ऊष्मा बाँटता है।

  9. Compare the Earth with the Moon in respect of size, distance and gravity. / आकार, दूरी और गुरुत्व की दृष्टि से पृथ्वी की तुलना चंद्रमा से कीजिए।
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    The Moon is much smaller than the Earth: its diameter is about 3,476 kilometres against the Earth's 12,757 kilometres, a little more than one quarter, and its mass is only one eightieth of the Earth's, so about fifty Moons would fit inside the Earth. It lies on average 3,84,400 kilometres from the Earth, about thirty Earth diameters away, a distance that light covers in 1.3 seconds. Because of its small mass the Moon's surface gravity is only one sixth of the Earth's, too weak to hold an atmosphere or liquid water, which is why its sky is black and its surface is covered with craters that have never been worn away by weather. The Moon revolves round the Earth in about 27.3 days and its pull raises the tides in our oceans. / चंद्रमा पृथ्वी से बहुत छोटा है: इसका व्यास लगभग 3,476 किलोमीटर है जबकि पृथ्वी का 12,757 किलोमीटर, अर्थात एक चौथाई से थोड़ा अधिक, और इसका द्रव्यमान पृथ्वी का केवल अस्सीवाँ भाग है, इसलिए लगभग पचास चंद्रमा पृथ्वी के अंदर समा सकते हैं। यह पृथ्वी से औसतन 3,84,400 किलोमीटर दूर है, लगभग तीस पृथ्वी-व्यास जितनी दूरी, जिसे प्रकाश 1.3 सेकंड में तय करता है। अपने छोटे द्रव्यमान के कारण चंद्रमा का सतही गुरुत्व पृथ्वी का केवल छठा भाग है, जो वायुमंडल या द्रव जल को रोकने के लिए बहुत कम है, इसीलिए इसका आकाश काला है और इसकी सतह ऐसे गड्ढों से भरी है जिन्हें मौसम ने कभी नहीं मिटाया। चंद्रमा लगभग 27.3 दिनों में पृथ्वी की परिक्रमा करता है और इसका खिंचाव हमारे महासागरों में ज्वार उत्पन्न करता है।

  10. Why do people in Arunachal Pradesh see the sunrise before people in Gujarat? What does this prove about the shape of the Earth? / अरुणाचल प्रदेश के लोग गुजरात के लोगों से पहले सूर्योदय क्यों देखते हैं? यह पृथ्वी की आकृति के बारे में क्या सिद्ध करता है?
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    The Earth rotates from west to east, and because its surface is curved, only half of it faces the Sun at any moment. Places lying farther east are turned towards the Sun earlier than places to the west. Arunachal Pradesh at about 95 degrees east longitude is about 26 degrees east of Gujarat at about 69 degrees east; since the Earth turns through one degree in four minutes, the Sun rises there about 104 minutes, nearly two hours, earlier. If the Earth were flat, every place would see the Sun rise at the same instant. The difference in sunrise times therefore proves that the Earth's surface is curved from east to west, that is, that the Earth is round. / पृथ्वी पश्चिम से पूर्व की ओर घूमती है, और चूँकि इसकी सतह वक्र है, किसी भी क्षण इसका केवल आधा भाग सूर्य के सामने होता है। अधिक पूर्व में स्थित स्थान पश्चिम के स्थानों से पहले सूर्य की ओर मुड़ते हैं। लगभग 95 डिग्री पूर्वी देशांतर पर स्थित अरुणाचल प्रदेश, लगभग 69 डिग्री पूर्व पर स्थित गुजरात से लगभग 26 डिग्री पूर्व में है; चूँकि पृथ्वी चार मिनट में एक डिग्री घूमती है, वहाँ सूर्य लगभग 104 मिनट, यानी लगभग दो घंटे पहले उगता है। यदि पृथ्वी चपटी होती तो हर स्थान पर सूर्योदय एक ही क्षण होता। सूर्योदय के समय का यह अंतर सिद्ध करता है कि पृथ्वी की सतह पूर्व से पश्चिम तक वक्र है, अर्थात पृथ्वी गोल है।

  11. Define light year and astronomical unit. Why are two different units needed? / प्रकाश वर्ष और खगोलीय इकाई को परिभाषित कीजिए। दो अलग इकाइयों की आवश्यकता क्यों है?
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    A light year is the distance that light, moving at about 3,00,000 kilometres per second, travels in one year; it equals about 9.46 trillion kilometres. An astronomical unit is the mean distance between the Earth and the Sun, about 14.96 crore kilometres. Two units are needed because the distances differ enormously in scale. Within the solar system the astronomical unit is convenient: Mars is 1.5 AU from the Sun and Neptune 30 AU. But the nearest star beyond the Sun is more than 2,60,000 AU away, a clumsy figure, whereas in light years it is simply 4.2. So the astronomical unit is used inside the solar system and the light year for distances to stars and galaxies. / प्रकाश वर्ष वह दूरी है जो प्रकाश, लगभग 3,00,000 किलोमीटर प्रति सेकंड की गति से, एक वर्ष में तय करता है; यह लगभग 9.46 खरब किलोमीटर के बराबर है। खगोलीय इकाई पृथ्वी और सूर्य के बीच की औसत दूरी है, लगभग 14.96 करोड़ किलोमीटर। दो इकाइयों की आवश्यकता इसलिए है क्योंकि दूरियों के पैमाने में बहुत बड़ा अंतर है। सौरमंडल के भीतर खगोलीय इकाई सुविधाजनक है: मंगल सूर्य से 1.5 AU और वरुण 30 AU दूर है। परंतु सूर्य के बाद निकटतम तारा 2,60,000 AU से भी अधिक दूर है, जो एक असुविधाजनक संख्या है, जबकि प्रकाश वर्षों में यह केवल 4.2 है। अतः सौरमंडल के अंदर खगोलीय इकाई और तारों तथा आकाशगंगाओं की दूरी के लिए प्रकाश वर्ष का प्रयोग होता है।

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