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The gravitational potential energy of a ...

The gravitational potential energy of a body at a distance `r` from the centre of earth is `U`. Its weight at a distance `2r` from the centre of earth is

A

`(u)/(r)`

B

`(u)/(4r)`

C

`(u)/(2r)`

D

`(4r)/(u)`

Text Solution

Verified by Experts

The correct Answer is:
B
Potential energy `u=(GMm)/(r)`
At distance `2r,(GM)/((2r)^(2))=(GM)/(4r^(2))=(u)/(4mr^(2))`
Now, `W=mE=(u)/(4r)`
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