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A particle is kept at rest at a distance...

A particle is kept at rest at a distance R (earth's radius) above the earth's surface. The minimum speed with which it should be projected so that is does not return is

A

`sqrt((GM)/R)`

B

`sqrt((GM)/(2R))`

C

`sqrt((GM)/(3R))`

D

`sqrt((GM)/(4R))`

Text Solution

Verified by Experts

The correct Answer is:
A
`F=(GMm)/((r+h)^(2))` and centripetal force `F=(Mv_(0)^(2))/((R+h))`
`rArr (GMm)/((R+h)^(2))=(Mv_(0)^(2))/((R+h))`
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