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. \(-\dfrac{20~Gm}{R}\)

2. \(-\dfrac{8~Gm}{R}\)

3. \(-\dfrac{12~Gm}{R}\)

4. \(-\dfrac{16~Gm}{R}\)
Subtopic:  Gravitational Potential |
 57%
From NCERT
NEET - 2023
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Match List-I with List-II.
List-I List-II
(a) Gravitational constant (\(G\)) (i) \([{L}^2 {~T}^{-2}] \)
(b) Gravitational potential energy (ii) \([{M}^{-1} {~L}^3 {~T}^{-2}] \)
(c) Gravitational potential (iii) \([{LT}^{-2}] \)
(d) Gravitational intensity (iv) \([{ML}^2 {~T}^{-2}]\)
Choose the correct answer from the options given below:
(a) (b) (c) (d)
1. (iv) (ii) (i) (iii)
2. (ii) (i) (iv) (iii)
3. (ii) (iv) (i) (iii)
4. (ii) (iv) (iii) (i)
Subtopic:  Gravitational Potential |
 72%
From NCERT
NEET - 2022
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At what height from the surface of the earth, are the gravitation potential and the value of \(g\) are: \(-5.4 \times 10^7~\text{J/kg}^{-2}\) and \(6.0~\text{ms}^{-2}\) respectively?
(Take, the radius of the earth as \(6400~\text{km}\))
1. \(1600~\text{km}\)
2. \(1400~\text{km}\)
3. \(2000~\text{km}\)
4. \(2600~\text{km}\)
Subtopic:  Gravitational Potential |
 67%
From NCERT
NEET - 2016
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An infinite number of bodies, each of mass \(2~\text{kg}\) are situated on the \(x\text-\)axis at distances \(1 ~\text m, ~2~\text m, ~4~\text m, ~8~\text m,......\)respectively, from the origin. The resulting gravitational potential due to this system at the origin will be:
1.  \(-\dfrac{8}{3}{G}\) 2. \(-\dfrac{4}{3} {G}\)
3.  \(-4 {G}\) 4. \(-{G}\)
Subtopic:  Gravitational Potential |
 70%
From NCERT
AIPMT - 2013
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A particle of mass M is situated at the centre of a spherical shell of the same mass and radius a. The magnitude of the gravitational potential at a point situated at a/2 distance from the centre will be:

1. -GMa

2. -2GMa

3. -3GMa

4. -4GMa

Subtopic:  Gravitational Potential |
 53%
From NCERT
AIPMT - 2011
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A particle of mass M is situated at the centre of a spherical shell of the same mass and radius a. The gravitational potential at a point situated at a / 2 distance from the centre, will be:

1. -3GMa

2. -2GMa

3. -GMa

4. -4GMa

Subtopic:  Gravitational Potential |
 67%
From NCERT
AIPMT - 2010
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