# Solved papers for NEET Physics Gravitation / गुरुत्वाकर्षण NEET PYQ-Gravitation

### done NEET PYQ-Gravitation Total Questions - 41

• question_answer1) The escape velocity of a sphere of mass m is given by ($G=$universal gravitational constant, ${{M}_{e}}=$mass of earth and ${{R}_{e}}=$ radius of earth):        [AIPMT 1999]

A)
$\sqrt{\frac{G{{M}_{e}}}{{{R}_{e}}}}$

B)
$\sqrt{\frac{2\,G{{M}_{e}}}{{{R}_{e}}}}$

C)
$\sqrt{\frac{2\,Gm}{{{R}_{e}}}}$

D)
$\frac{G{{M}_{e}}}{R_{e}^{2}}$

• question_answer2) Escape velocity from earth is 11.2 km/s. Another planet of same mass has radius 1/4 times that of earth. What is the escape velocity from another planet?                                          [AIPMT 2000]

A)
11.2 km/s

B)
44.8 km/s

C)
22.4 km/s

D)
5.6 km/s

• question_answer3) A body has a weight 72 N. When it is taken to a height $h=R$ (radius of earth), it would weigh:        [AIPMT 2000]

A)
72 N

B)
36 N

C)
18 N

D)
zero

• question_answer4) A body attains a height equal to the radius of the earth. The velocity of the body with which it was projected is:                        [AIPMT 2001]

A)
$\sqrt{\frac{GM}{R}}$

B)
$\sqrt{\frac{2GM}{R}}$

C)
$\sqrt{\frac{5}{4}\,\frac{GM}{R}}$

D)
$\sqrt{\frac{3GM}{R}}$

• question_answer5) A body of mass m is placed on earth's surface. It is then taken from earth's surface to a height $h=3R,$ then the change in gravitational potential energy is:               [AIPMT 2002]

A)
$\frac{mgh}{R}$

B)
$\frac{2}{3}\,mgR$

C)
$\frac{3}{4}mgR$

D)
$\frac{mgR}{2}$

• question_answer6) Two 220 V, 100 W bulbs are connected first in series and then in parallel. Each time the combination is connected to a 220 V AC supply line. The power drawn by the combination in each case respectively will be:    [AIPMT 2003]

A)
200 W, 150 W

B)
50 W, 200 W

C)
50 W , 100 W

D)
100 W, 50 W

• question_answer7) 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 jump by the same person on the planet B?            [AIPMT 2003]

A)
$6\,m$

B)
$\frac{2}{3}\,m$

C)
$\frac{2}{9}\,m$

D)
$18\,\,m$

• question_answer8) 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. The gravitational force will now be: [AIPMT 2003]

A)
$\frac{F}{3}$

B)
$\frac{F}{9}$

C)
$3\,F$

D)
F

• question_answer9) The density of newly discovered planet 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 radius of the earth is R, the radius of the planet would be: [AIPMT (S) 2004]

A)
$2\,R$

B)
$4\,R$

C)
$\frac{1}{4}R$

D)
$\frac{1}{2}R$

• question_answer10) 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 that on the surface of the new planet is g', then:       [AIPMT (S) 2005]

A)
$g'=3\,g$

B)
$g'=\frac{g}{9}$

C)
$g'=9\,g$

D)
$g'=27\,g$

• question_answer11) For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is: [AIPMT (S) 2005]

A)
2

B)
$\frac{1}{2}$

C)
$\frac{1}{\sqrt{2}}$

D)
$\sqrt{2}$

• question_answer12)  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 $f{{v}_{e}},$ where ${{v}_{e}}$ is its escape velocity from the surface of the earth. The value of f is:                              [AIPMT (S) 2006]

A)
$\sqrt{2}$

B)
$\frac{1}{\sqrt{2}}$

C)
$\frac{1}{3}$

D)
$\frac{1}{2}$

• question_answer13) Two satellites of earth, ${{S}_{1}}$ and ${{S}_{2}},$ are moving in the same orbit. The mass of ${{S}_{1}}$ is four times the mass of ${{S}_{2}}$. Which one of the following statements is true?         [AIPMT (S) 2007]

A)
The time period of ${{S}_{1}}$ is four times that of ${{S}_{2}}$

B)
The potential energies of earth and satellite in the two cases are equal

C)
${{S}_{1}}$ and ${{S}_{2}}$ are moving with the same speed

D)
The kinetic energies of the two satellites are equal

• question_answer14) The radii of circular orbits of two satellites A and B of the earth are 4R and R, respectively. If the speed of satellite A is 3v, then the speed of satellite B will be                        [AIPMT (S) 2010]

A)
3 v/4

B)
6 v

C)
12 v

D)
3 v/2

• question_answer15) 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, will be [AIPMT (S) 2010]

A)
$-\frac{3GM}{a}$

B)
$-\frac{2GM}{a}$

C)
$-\frac{GM}{a}$

D)
$-\frac{4GM}{a}$

• question_answer16) 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 ${{R}_{1}}$ to another of radius ${{R}_{2}}({{R}_{2}}>{{R}_{1}})$ is [AIPMT (M) 2010]

A)
$GmM\left( \frac{1}{R_{1}^{2}}-\frac{1}{R_{2}^{2}} \right)$

B)
$GmM\left( \frac{1}{R_{1}^{{}}}-\frac{1}{R_{2}^{{}}} \right)$

C)
$2GmM\left( \frac{1}{R_{1}^{{}}}-\frac{1}{R_{2}^{{}}} \right)$

D)
$\frac{1}{2}GmM\left( \frac{1}{R_{1}^{{}}}-\frac{1}{R_{2}^{{}}} \right)$

• question_answer17)  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 (1)       (2) (3)        (4) The correct figure is           [AIPMT (M) 2010]

A)
(4)

B)
(1)

C)
(2)

D)
(3)

• question_answer18) A particle of mass m is thrown upwards from the surface of die earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is [AIPMT (M) 2011]

A)
$\sqrt{\frac{2GM}{R}}$

B)
$\sqrt{\frac{2GM}{{{R}^{2}}}}$

C)
$\sqrt{2g{{R}^{2}}}$

D)
$\sqrt{\frac{2GM}{{{R}^{2}}}}$

• question_answer19) 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 $\frac{a}{2}$ distance from the centre, will be [AIPMT (M) 2011]

A)
$\frac{2GM}{a}$

B)
$\frac{3GM}{a}$

C)
$\frac{4GM}{a}$

D)
$\frac{GM}{a}$

• question_answer20) 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    [AIPMT (M) 2012]

A)
${{v}_{o}}=\sqrt{2}{{v}^{e}}$

B)
${{v}_{o}}={{v}^{e}}$

C)
${{v}_{e}}=\sqrt{2{{v}^{e}}}$

D)
${{v}_{e}}=\sqrt{2}{{v}_{o}}$

• question_answer21) 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 centre of the spherical shell).           [AIPMT (M) 2012]

A)

B)

C)

D)

• question_answer22) The height at which the weight of a body becomes 1/16th, its weight on the surface of earth (radius R), is [AIPMT (S) 2012]

A)
5 R

B)
15 R

C)
3 R

D)
4 R

• question_answer23) 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 [AIPMT (S) 2012]

A)
$4G{{M}_{p}}/D_{p}^{2}$

B)
$G{{M}_{p}}m/D_{p}^{2}$

C)
$G{{M}_{p}}m/D_{p}^{2}$

D)
$4\,G{{M}_{p}}m/D_{p}^{2}$

• question_answer24) A geostationary satellite is orbiting the earth at a height of 5R above that surface of the earth, R being the radius of the earth. The time period of another satellite in hours at a height of 2R from the surface of the earth is         [AIPMT (S) 2012]

A)
5

B)
10

C)
$6\sqrt{2}$

D)
$6/\sqrt{2}$

• question_answer25) 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                                           [NEET 2013]

A)
$mg2R$

B)
$\frac{2}{3}mgR$

C)
$3\,mgR$

D)
$\frac{1}{3}mgR$

• question_answer26) 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 due to this system at the origin will be  [NEET 2013]

A)
$-G$

B)
$-\frac{8}{3}G$

C)
$-\frac{4}{3}G$

D)
$-4G$

• question_answer27) 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 (mass $=5.98\times {{10}^{24}}\,kg$) have to be compressed to be a black hole? [NEET 2014]

A)
${{10}^{-9}}m$

B)
${{10}^{-6}}\,m$

C)
${{10}^{-2}}\,m$

D)
$100\,m$

• question_answer28) Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by                      [NEET 2014]

A)

B)

C)

D)

• question_answer29) Kepler's third law states that square of period of revolution (T) of a planet around the sun, is proportional to third power of average distance r between the sun and planet i.e.   ${{T}^{2}}=K{{r}^{3}},$ here K is constant. If the masses of the sun and planet are M and m respectively, then as per Newton's law of gravitation force of attraction between them is$F=\frac{GMm}{{{r}^{2}}},$ here G is gravitational constant. The relation between G and K is described as [NEET 2015 ]

A)
$GK=4{{\pi }^{2}}$

B)
$GMK=4{{\pi }^{2}}$

C)
$K=G$

D)
$K=\frac{l}{G}$

• question_answer30) Two spherical bodies of masses M and 5 M and radii R and 2R are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is           [NEET 2015 ]

A)
$2.5\,R$

B)
$4.5\,R$

C)
$7.5\,R$

D)
$1.5\,R$

• question_answer31) A remote sensing satellite of earth revolves in a circular orbit at a height of $0.25\times {{10}^{6}}\,m$ above the surface of earth. If earth's radius is $6.38\times {{10}^{6}}$ and $g=9.8\,m{{s}^{-2}},$ then the orbital speed of the satellite is            [NEET 2015 (Re)]

A)
$7.76\,\,k\,\,m{{s}^{-1}}$

B)
$8.5\,\,k\,\,m{{s}^{-1}}$

C)
$9.13\,\,k\,\,m{{s}^{-1}}$

D)
$6.67\,\,k\,\,m{{s}^{-1}}$

• question_answer32) A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small as compared to the mass of the earth. Then, [NEET 2015 (Re)]

A)
the angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constant

B)
the total mechanical energy of S varies periodically with time

C)
the linear momentum of S remains constant in magnitude

D)
the acceleration of S is always directed towards the centre of the earth

• question_answer33)  At what height from the surface of earth the gravitation potential and the value of g are $\,\,5.4\times {{10}^{7}}\text{ }J\text{ }k{{g}^{2}}$ and $6.0\text{ }m{{s}^{-2}}$ respectively? Take the radius of earth as 6400 km: [NEET - 2016]

A)
2600 km

B)
1600 km

C)
1400 km

D)
2000 km

• question_answer34) The ratio of escape velocity at earth $({{v}_{e}})$ to the escape velocity at a planet $({{v}_{p}})$ whose radius and mean density are twice as that of earth is [NEET - 2016]

A)
1 : 2

B)
$1:2\sqrt{2}$

C)
1 : 4

D)
$1:\sqrt{2}$

• question_answer35) 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             [NEET-2017]

A)
$d=2\,km$

B)
$d=\frac{1}{2}\,km$

C)
$d=\,1\,\,km$

D)
$d=\frac{3}{2}\,km$

• question_answer36) Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will:                        [NEET-2017]

A)
Will become stationary

B)
Keep floating at the same distance between them

C)
Move towards each other

D)
Move away from each other

• question_answer37)  The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are${{\text{K}}_{\text{A}}}$, ${{\text{K}}_{\text{B}}}$ and${{\text{K}}_{\text{C}}}$, respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then [NEET - 2018]

A)
${{\text{K}}_{\text{B}}}\text{}{{\text{K}}_{\text{A}}}\text{}{{\text{K}}_{\text{C}}}$

B)
${{\text{K}}_{\text{A}}}\text{}{{\text{K}}_{\text{B}}}\text{}{{\text{K}}_{\text{C}}}$

C)
${{\text{K}}_{\text{A}}}\text{}{{\text{K}}_{\text{B}}}\text{}{{\text{K}}_{\text{C}}}$

D)
${{\text{K}}_{\text{B}}}\text{}{{\text{K}}_{\text{A}}}\text{}{{\text{K}}_{\text{C}}}$

• question_answer38) 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?                              [NEET - 2018]

A)
Time period of a simple pendulum on the Earth would decrease

B)
Walking on the ground would become more difficult

C)
Raindrops will fall faster

D)
'g' on the Earth will not change

• question_answer39) 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?                     [NEET 2019]

A)
250 N

B)
100 N

C)
150 N

D)
200 N

• question_answer40) 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:              [NEET 2019]

A)
$\frac{1}{2}mgR$

B)
$\frac{3}{2}mgR$

C)
$mgR$

D)
$2mgR$

• question_answer41) 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? [NEET 2020]

A)
32 N

B)
30 N

C)
24 N

D)
48 N