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Q. No.A particle is released from a height of \(S\) above the surface of the earth. At a certain height, its kinetic energy is three times its potential energy. The distance from the earth's surface and the speed of the particle at that instant are respectively:
| 1. | \(\frac{S}{2},\frac{\sqrt{3gS}}{2}\) | 2. | \(\frac{S}{4}, \sqrt{\frac{3gS}{2}}\) |
| 3. | \(\frac{S}{4},\frac{3gS}{2}\) | 4. | \(\frac{S}{4},\frac{\sqrt{3gS}}{3}\) |
Subtopic: Â Gravitational Potential Energy |
 70%
Level 2: 60%+
NEET - 2021
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The work done to raise a mass \(m\) from the surface of the earth to a height \(h\), which is equal to the radius of the earth, is:
| 1. | \(\dfrac{3}{2}mgR\) | 2. | \(mgR\) |
| 3. | \(2mgR\) | 4. | \(\dfrac{1}{2}mgR\) |
Subtopic: Â Gravitational Potential Energy |
 67%
Level 2: 60%+
NEET - 2019
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Assuming that the gravitational potential energy of an object at infinity is zero, the change in potential energy (final - initial) of an object of mass \(m\) when taken to a height \(h\) from the surface of the earth (of radius \(R\) and mass \(M\)), is given by:
| 1. | \(-\frac{GMm}{R+h}\) | 2. | \(\frac{GMmh}{R(R+h)}\) |
| 3. | \(mgh\) | 4. | \(\frac{GMm}{R+h}\) |
Subtopic: Â Gravitational Potential Energy |
 64%
Level 2: 60%+
NEET - 2019
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- 1(current)
Q. No.
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