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The escape velocity for a planet is ve. ...

The escape velocity for a planet is `v_e`. A particle starts from rest at a large distance from the planet, reaches the planet only under gravitational attraction, and passes through a smooth tunnel through its centre. Its speed at the centre of the planet will be

A

`v_(e)`

B

`sqrt(1.5)v_(e)`

C

`1.5v_(e)`

D

`2v_(e)`

Text Solution

Verified by Experts

The correct Answer is:
B
`3/2 (GMm)/R=1/2 mv^(2), v^(2) =(3GM)/R=sqrt(1.5)ve`
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  2. A tunnel is dug along a diameter of the earth. Find the force on a par...

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  9. The speed of a satellite that revolves around earth at a height 3R fro...

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  13. A satellite is orbiting the earth in an orbit with a velocity 4 km//s,...

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  17. The energy required to shift the body revolving around a planet from r...

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  18. By what percent the energy of the satellite has to be increased to shi...

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  19. At what height from the surface of the earth, the total energy of sate...

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