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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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. \(-\dfrac{3GM}{a}\)
2. \(-\dfrac{2GM}{a}\)
3. \(-\dfrac{GM}{a}\)
4. \(-\dfrac{4GM}{a}\)

Subtopic:  Gravitational Potential |
 67%
Level 2: 60%+
AIPMT - 2010
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