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 |
 59%
Level 3: 35%-60%
NEET - 2023
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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%
Level 2: 60%+
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%
Level 2: 60%+
AIPMT - 2013
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