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Gravitation — NEET UG Physics PYQs

335 previous year questions from Gravitation with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

335 questionsPhysicsSolutions on every page
1

The amount of work done to raise a mass ' m ' from the surface of the Earth to a height equal to the radius of the Earth ' R ', will be :

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2

Two planets P₁ and P₂ with equal mass have radii R₁ and R₂ , respectively, where R₂= R₁ 2 . The escape speeds of P₁ and P₂ are v₁ and v₂ , respectively. Then v₂ v₁ is :

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3

In a solar system, the time-period of revolution of a planet tracing a circular orbit of radius R is proportional to :

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4

The radius of Martian orbit around the Sun is about 4 times the radius of the orbit of Mercury. The Martian year is 687 Earth days. Then which of the following is the length of 1 y

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5

A body weighs 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its sur

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6

The escape velocity for earth is v . A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:

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7

The mass of a planet is 1 10 th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:

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8

An object of mass 100 kg falls from point A to B as shown in figure. The change in its weight, corrected to the nearest integer is ( R_E is the radius of the earth)

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9

The minimum energy required to launch a satellite of mass m from the surface of earth of mass M and radius R in a circular orbit at an altitude of 2 R from the surface of the earth

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10

The escape velocity of a body on the earth surface is 11.2 ~km / s . If the same body is projected upward with velocity 22.4 ~km / s , the velocity of this body at infinite distanc

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11

If R is the radius of the earth and g is the acceleration due to gravity on the earth surface. Then the mean density of the earth will be

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12

Two bodies of mass m and 9 m are placed at a distance R . The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be ( G = gravit

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13

A satellite is orbiting just above the surface of the earth with period T . If d is the density of the earth and G is the universal constant of gravitation, the quantity 3 π G

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14

In a gravitational field, the gravitational potential is given by, V = K x ( ~J / kg ) . The gravitational field intensity at point (2,0,3) m is:

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15

A body of mass 60   g experiences a gravitational force of 3 . 0   N , when placed at a particular point. The magnitude of the gravitational field intensity at that point

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16

A particle of mass m is projected with a velocity v = k V e   ( k < 1 ) from the surface of the earth ( V e = escape velocity). The maximum height above the surface reache

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17

The escape velocity from the Earth's surface is v . The escape velocity from the surface of another planet having a radius four times that of Earth and the same mass density is

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18

What is the depth at which the value of acceleration due to gravity becomes 1 n , times the value at the surface of the earth? (radius of the earth = R )

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19

A body weighs 72   N on the surface of the earth. What is the gravitational force on it, at a height equal to half the radius of the earth?

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20

Assertion : Orbit of a satellite is within the gravitational field of earth whereas escaping is beyond the gravitational field of earth. Reason : Orbital velocity of a satellite is

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21

Taking the radius of the earth to be 6400 ~km , by what percentage will the acceleration due to gravity at a height of 100 ~km from the surface of the earth differ from that on the

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22

If escape velocity on earth surface is 11.1 ~km / h , then find the escape velocity on moon surface. If mass of moon is 1 81 times of mass of earth and radius of moon is 1 4 times

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23

A planet of radius R has a time period of revolution T. Find time period of a planet of radius 9 R ?

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24

The time period of a geo-stationary satellite is 24 ~h , at a height 6 R_E-R_E is the radius of earth) from surface of earth. The time period of another satellite whose height is 2

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25

A body weighs 200   N on the surface of the earth. How much will it weigh half way down to the centre of the earth?

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26

Assuming that the gravitational potential energy of an object at infinity is zero, the change in potential energy (final - initial) of an object of mass m , when taken to a height

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27

The work done to raise a mass m from the surface of the earth to a height h , which is equal to the radius of the earth is:

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28

A satellite is moving with a constant speed v in a circular orbit about the earth. An object of mass m is ejected from the satellite such that it just escapes from the gravitationa

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29

Earth orbiting satellite has solar energy collecting panel with total area 5 ~m ^2 . If solar radiations are perpendicular and completely absorbed, the average force associated wit

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30

Average distance of the earth from the sun is L₁ . If one year of the earth =D days, one year of another planet whose average distance from the sun is L₂ will be

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31

A satellite is revolving around the earth with a kinetic energy E . The minimum addition of kinetic energy needed to make it escape from its orbit is

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32

At what distance (in metre) from the centre of the Moon, the intensity of gravitational field will be zero? (Take, mass of Earth and Moon as 5.98 10²⁴ ~kg and 7.35 10²² ~kg respect

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33

R is the radius of Earth and is its angular velocity and g_p is the value of g at the poles. The effective value of g at a latitude =60^ .

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34

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions, A , B and C are K A ,   K B   a n d   K C , respectively. A C is the major axis

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35

If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct?

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36

The change in the gravitational potential energy when a body of mass m is raised to a height n R above the surface of the earth is (here R is the radius of the earth)

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37

Assertion : Kepler's second law can be understood by conservation of angular momentum principle. Reason : Kepler's second law is related with areal velocity which can further be pr

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38

The planets with radii R₁ and R₂ have densities ₁, ₂ respectively. Their atmospheric pressures are p₁ and p₂ respectively. Therefore, the ratio of masses of their atmospheres, negl

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39

A rocket is intended to leave the Earth's gravitational field. The fuel in its main engine is a little less than the amount that is necessary and an auxiliary engine, (only capable

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40

Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will:

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41

The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then

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42

Time period of pendulum, on a satellite orbiting the earth, is

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43

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M to transfer it from a circular orbit of radius R₁ to another of radius R₂

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44

A body of mass 2 m is placed on earth's surface. Calculate the change in gravitational potential energy, if this body is taken from earth's surface to a height of h , where h=4 R .

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45

Starting from the center of the earth having radius, R , the variation of g (acceleration due to gravity) is shown by

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46

At what height from the surface of earth the gravitation potential and the value of g are - 5.4 × 10 7  J   k g - 2 and 6.0   m  s - 2 respectively? Take t

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47

A satellite of mass m is orbiting the earth (of radius R ) at a height h from its surface. The total energy of the satellite in terms of g o , the value of acceleration due to grav

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48

The ratio of escape velocity at earth υ e to the escape velocity at a planet υ p whose radius and mean density are twice as that of earth is:

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49

A uniform ring of mass m and radius a is placed directly above a uniform sphere of mass M and of equal to radius. The centre of the ring is at a distance 3 a from the centre of the

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50

A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth. Then,

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51

A remote-sensing satellite of earth revolves in a circular orbit at a height of 0.25 × 10 6 m above the surface of earth. If earth's radius is 6.38 × 10 6   m an

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52

Kepler's third law states that the square of the period of revolution (T) of a planet around the sun is proportional to the third power of the average distance r between sun an

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53

A satellite is in an orbit around the earth. If its kinetic energy is doubled, then

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54

What will be the effect on the weight of a body placed on the surface of earth, if earth suddenly stops rotating?

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55

Change in acceleration due to gravity is same upto a height h from each other the earth surface and below depth x , then relation between x and h is ( h and x R_e )

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56

A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth m a s s = 5.98 × 10 24 k g have

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57

Dependence of intensity of gravitational field E of earth with distance r from centre of earth is correctly represented by:

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58

Gravitational potential of the body of mass m at a height h from surface of earth of radius R is (Take g= acceleration due to gravity at earth's surface)

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59

A body of mass m is taken from the earth's surface to the height equal to twice the radius (R) of the earth. The change in potential energy of body will be

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60

Assertion : Water kept in an open vessel will quickly evaporate on the surface of the moon. Reason : The temperature at the surface of the moon is much higher than the boiling poin

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61

The escape velocity for the earth is 11.2 ~km / s . The mass of another planet 100 times mass of earth and its radius is 4 times radius of the earth. The escape velocity for the pl

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62

The radius of planet is twice the radius of earth. Both have almost equal averge mass densities V_P and V_E are escape velocities of the planet and the earth respectively, then:

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63

A body of mass m taken from the earth's surface to the height equal to twice the radius (R) of the earth. The change is potential energy of body will be

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64

Infinite number of bodies, each of mass 2 ~kg are situated on x -axis at distance 1 ~m , 2 ~m , 4 ~m , 8 ~m , respectively from the origin. The resulting gravitational potential du

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65

A particle of mass ' m ' is kept at rest at a height 3 R from the surface of earth, where ' R ' is radius of earth and ' M ' is mass of earth. The minimum speed with which is shoul

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66

Find out the correct relation for the dependance of change in acceleration due to gravity on the angle at the latitude, due to rotation of earth

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67

A launching vehicle carrying an artificial satellite of mass m is set for launch on the surface of the earth of mass M and radius R . If the satellite is intended to move in a circ

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68

The height at which the weight of a body becomes 1 / 16 th, its weight on the surface of earth (radius R ), is

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69

A spherical planet has a mass M_p and diameter D_p . A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to

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70

A geostationary satellite is orbiting the earth at a height of 5 R above that surface of the earth, R being the radius of the earth. The time period of another satellite in hours a

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71

If v_e is escape velocity and v_o is orbital velocity of a satellite for orbit close to the Earth's surface, then these are related by

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72

Which one of the following plots represents the variation of gravitational field on a particle with distance r due to a thin spherical shell of radius R ? ( r is measured from the

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73

A body projected vertically from the earth reaches a height equal to earth's radius before returning to the earth. The power exerted by the gravitational force is greatest

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74

A particle of mass M is situated at the centre of spherical shell of mass and radius a . The magnitude of the gravitational potential at a point situated at a 2 distance from the c

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75

A particle of mass m is thrown upwards from the surface of the earth, with a velocity u . The mass and the radius of the earth are, respectively, M and R . G is gravitational const

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76

A planet moving along an elliptical orbit is closest to the sun at a distance r₁ and farthest away at a distance of r₂ . If y₁ and v₂ are the linear velocities at these points resp

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77

Assertion : The difference in the value of acceleration due to gravity at pole and equator is proportional to square of angular velocity of earth. Reason : The value of acceleratio

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78

Two spherical bodies of masses M and 5 M and radii R and 2 R respectively are released in free space with initial separation between their centres equal to 12 R . If they attract e

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79

A satellite orbiting the earth in a circular orbit of radius R completes one revolution in 3h. If orbital radius of geostationary satellite is 36000 km , orbital radius of earth is

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80

The radii of circular orbits of two satellites A and B of the earth are 4 R and R , respectively. If the speed of satellite A is 3 v , then the speed of satellite B will be

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81

A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The gravitational potential at a point situated at a/ 2 distance from the centre, wil

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82

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M , to transfer it from a circular orbit of radius R₁ to another of radius R

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83

The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density is as shown in figures below (

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84

Assertion : Generally the path of a projectile from the earth is parabolic but it is elliptical for projectiles going to a very great height. Reason : Up to ordinary height the pro

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85

Two satellites of earth, S₁ and S₂ , are moving in the same orbit. The mass of S₁ is four times the mass of S₂ . Which one of the following statements is true?

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86

The figure shows elliptical orbit of a planet m about the sun S . The shaded area SCD is twice the shaded are SAB . It t₁ is the time for the planet to move from C to D and t₂ is t

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87

Suppose the gravitational force varies inversely as the (n^ th ) power of distance. Then the time period of a planet in circular orbit of radius (R ) around the sun will be proport

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88

The speed of earth's rotation about its axis is . Its speed is increased to x times to make the effective acceleration due to gravity equal to zero at the equator. Then x is

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89

For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is

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90

Height of geostationary satellite is

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91

Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and t

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92

Two satellites of earth, S ₁ and S ₂ are moving in the same orbit. The mass of S₁ of four times the mass of S₂ . Which one of the following statements is true?

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93

Two planets are revolving around the earth with velocities v₁ and v₂ and in radii r₁ and r₂ (r₁ r₂ ) respectively. Then:

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94

Earth is revolving around the sun. If the distance of the earth from the sun is reduced to 1 / 4 th of the present distance then the length of present day will be reduced by :

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95

There are two planets and the ratio of radius of the two planets is K but ratio of acceleration due to gravity of both planets is g . What will be the ratio of their escape velocit

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96

The Earth is assumed to be a sphere of radius R . A platform is arranged at a height R from the surface of the Earth. The escape velocity of a body from this platform is f v , wher

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97

According to Hubble's law, the redshift (Z) of a receding galaxy and its distance r from earth are related as

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98

The condition for a uniform spherical mass m of radius r to be a black hole is [G= gravitational constant and g= acceleration due to gravity]

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99

Radius of orbit of satellite of earth is R . Its kinetic energy is proportional to

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100

For a satellite in an orbit around the earth, the ratio of kinetic energy to potential energy is:

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101

Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and t

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102

Assertion : There are very small sporadic changes in the period of rotation of the earth. Reason : Shifting of large air masses in the earth's atmosphere produce a change in the mo

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103

The density of a newly discovered plant is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the ra

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104

The velocity with which a projectile must be fired so that it escapes earth's gravitation does not depend on

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105

The motion of planets in the solar system is an example of the conservation of

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106

The difference in lengths of a mean solar day and a sidereal day is about

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107

Assertion : The length of the day is slowly increasing. Reason : The dominant effect causing a slowdown in the rotation of the earth is the gravitational pull of other planets in t

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108

Assertion : The earth is slowing down and as a result the moon is coming nearer to it. Reason : The angular momentum of the earth moon system is not conserved.

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109

The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2 ~m on the surface of A. What is the height of j

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110

Two spheres of masses m and M are situated in air and the gravitational force between them is F . The space around the masses is now filled with a liquid of specific gravity 3 . Th

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111

The force of gravitation is

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112

Kepler's second law is based on

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113

If v₀ be the orbital velocity of a satellite in a circular orbit close to the earth's surface and v_e is the escape velocity from the earth, then relation between the two is

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114

Assertion : Planet is a heavenly body revolving round the sun. Reason : Star is luminous body made of gaseous material.

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115

Hubble's law is related with

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116

A body of mass m is placed on Earth's surface which is a taken from Earth's surface to a height of h=3 R , then the change in the gravitational potential energy is:

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117

The orbital velocity of an artificial satellite in a circular orbit above the earth's surface at a distance equal to radius of earth is v . For a satellite orbiting at an altitude

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118

Escape velocity of a rocket is 11.2 ~km / sec . It is released at an angle of 45^ . Its escape velocity is

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119

Assertion : The time period of revolution of a satellite around a planet is directly proportional to the radius of the orbit of the satellite. Reason : Artificial satellite do not

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120

A body weighed 250 ~N on the surface assuming the earth to be a sphere of uniform mass density, how much would it weigh half way down to the centre of the earth?

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