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 |
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At what height from the surface of the earth, the gravitation potential and the value of \(g\) are: \(-5.4 \times 10^7\) Jkg–2 and \(6.0~\text{ms}^{-2}\) respectively? (Take, the radius of earth as \(6400\) km.)
1. \(1600\) km
2. \(1400\) km
3. \(2000\) km
4. \(2600\) km
Subtopic:  Gravitational Potential |
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An infinite number of bodies, each of mass \(2\) kg are situated on the \(x\text-\)axis at distances \(1 m, ~2m, ~4m, ~8m, \ldots \ldots .\)respectively, from the origin. The resulting gravitational potential due to this system at the origin will be:
1.  \(-\frac{8}{3}{G}\) 2. \(-\frac{4}{3} {G}\)
3.  \(-4 {G}\) 4. \(-{G}\)
Subtopic:  Gravitational Potential |
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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 |
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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 |
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