JEE MainPhysicsGravitationMCQ+4 / −1
Two satellites and move round the earth in the same orbit. The mass of is twice the mass of . The quantity which is same for the two satellites will be
- APotential energy
- BKinetic energy
- CTotal energy
- DSpeed
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Correct answer: D
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Given
- Two satellites and move around Earth in the same orbit.
- Mass of satellite is twice the mass of satellite .
- Let the common orbital radius be .
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Speed of a satellite in a circular orbit The orbital speed is where is the mass of Earth.
Since both satellites are in the same orbit, both have the same . Also, and are constants. Therefore,
So, speed is the same for both satellites.
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Check other options
Let mass of satellite be . Then mass of is .
(A) Potential energy
Gravitational potential energy is For : For : Hence, .
(B) Kinetic energy
For : For : Hence, .
(C) Total energy
For a satellite in circular orbit, For : For : Hence, .
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Conclusion The only quantity same for both satellites is:
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Comparison with stored correct answer Stored correct answer:
Our derived answer:
So, the derived answer agrees with the stored correct answer.
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