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Q. No.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. \(\dfrac{{Gm}^2}{l}\left(1+\dfrac{1}{\sqrt{2}}\right)\)
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: Â Gravitational Potential |
From NCERT
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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: Â Gravitational Potential |
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From NCERT
AIPMT - 2013
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