Two bodies of mass \(m\) and \(9m\) are placed at a distance \(R\). The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be: ( \(G\)= gravitational constant)
1. \(-\frac{20~GM}{R}\)
2. \(-\frac{8~GM}{R}\)
3. \(-\frac{12~GM}{R}\)
4. \(-\frac{16~GM}{R}\)
Subtopic:  Gravitational Potential |
 51%
From NCERT
NEET - 2023
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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 \(\frac{3 \pi}{G d}\) represents:
1. \(\sqrt{T}\)
2. \(T\)
3. \(T^2\)
4. \(T^3\)
Subtopic:  Satellite |
 65%
From NCERT
NEET - 2023
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The escape velocity of a body on the earth's surface is \(11.2\) km/s. If the same body is projected upward with a velocity \(22.4\) km/s, the velocity of this body at infinite distance from the center of the earth will be:
1. \(11.2\sqrt2\) km/s
2. zero
3. \(11.2\) km/s
4. \(11.2\sqrt3\) km/s
Subtopic:  Escape velocity |
From NCERT
NEET - 2023
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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:
1. \(\frac{\pi RG}{12g}\) 2. \(\frac{3\pi R}{4gG}\)
3. \(\frac{3g}{4\pi RG}\) 4. \(\frac{4\pi G}{3gR}\)

Subtopic:  Acceleration due to Gravity |
 79%
From NCERT
NEET - 2023
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A body of mass \(60~ \text{g}\)  experiences a gravitational force of \(3.0~\text{N}\) when placed at a particular point. The magnitude of the gravitational field intensity at that point is:
1. \(180 ~\text{N/kg}\) 2. \(0.05 ~\text{N/kg}\)
3. \(50 ~\text{N/kg}\) 4. \(20 ~\text{N/kg}\)
Subtopic:  Gravitational Field |
 70%
From NCERT
NEET - 2022
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Assuming the earth to be a sphere of uniform density, its acceleration due to gravity acting on a body:

1. increases with increasing altitude.
2. increases with increasing depth.
3. is independent of the mass of the earth.
4. is independent of the mass of the body.
Subtopic:  Acceleration due to Gravity |
 68%
From NCERT
NEET - 2022
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Two planets are in a circular orbit of radius \(R\) and \(4R\) about a star. At a specific time, the two planets and the star are in a straight line. If the period of the closest planet is \(T,\) then the star and planets will again be in a straight line after a minimum time:
           

1. \((4)^2T\) 2. \((4)^{\frac13}T\)
3. \(2T\) 4. \(8T\)
Subtopic:  Kepler's Laws |
 62%
From NCERT
NEET - 2022
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In a gravitational field, the gravitational potential is given by, \(V=-\frac{K}{x}~\text{J/kg}\). The gravitational field intensity at point \((2,0,3)\) m is:
1. \(+\frac K2\)
2. \(-\frac{K}{2}\)
3. \(-\frac{K}{4}\)
4. \(+\frac K4\)
Subtopic:  Gravitational Field |
From NCERT
NEET - 2022
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A particle is released from a height of \(S\) above the surface of the earth. At a certain height, its kinetic energy is three times its potential energy. The distance from the earth's surface and the speed of the particle at that instant are respectively: 

1. \({S \over 2},{ \sqrt{3gS} \over 2}\) 2. \({S \over 4}, \sqrt{3gS \over 2}\)
3. \({S \over 4},{ {3gS} \over 2}\) 4. \({S \over 4},{ \sqrt{3gS} \over 3}\)
Subtopic:  Gravitational Potential Energy |
 67%
From NCERT
NEET - 2021
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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: 

1. \(3v\) 2. \(4v\) 
3. \(v\) 4. \(2v\)
Subtopic:  Escape velocity |
 58%
From NCERT
NEET - 2021
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