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An object is propelled vertically to a m...

An object is propelled vertically to a maximum height of 4R from the surface of a planet of radius R and mass M. The speed of object when it returns to the surface of the planet is -

A

`2sqrt((2GM)/(5R))`

B

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

C

`sqrt((3GM)/(2R))`

D

`(GM)/(5R)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(-GMm)/(5R)+0=(-GMm)/R+1/2mV^2rArrV=2sqrt((2GM)/(5R))`
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