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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Four particles, each of mass \(m,\) are kept at the four corners of a square of side \(l\) each. The amount of work done to separate these particles for no interaction between them will be:
1. \(\dfrac{4Gm^2}{l}\)
2. \(-{\dfrac{Gm^2} {l}}(4+\sqrt 2)\)
3. \({\dfrac{Gm^2}{l}}(4+\sqrt 2)\)
4. \(\dfrac{{Gm}^2}{l}\left(1+\dfrac{1}{\sqrt{2}}\right)\)
Subtopic:  Gravitational Potential |
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Two heavy spheres each of mass \(100~\text{kg}\) and radius \(0.10~\text m,\) are placed \(1.0~\text m\) apart on a horizontal table. What is the gravitational potential at the midpoint of the line joining the centres of the spheres?

1. \(2.67\times10^{-8}~\text{J/kg}\) 2. Zero
3. \(6.67\times10^{-9}~\text{J/kg}\) 4. \(3.71\times10^{-8}~\text{J/kg}\)
Subtopic:  Gravitational Potential |
 53%
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