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The work done to raise a mass m from the...

The work done to raise a mass `m` from the surface of the earth to a height `h`, which is equal to the radius of the earth, is :

A

`3/2 mgR`

B

mgR

C

2mg R

D

`1/2`mg R

Text Solution

Verified by Experts

The correct Answer is:
D
Work done `=u_f-u_i`
`rArr(-GMm)/((R+h))-(-GmM)/r`
Now, h = R
`W=(-GmM)/(2R)+(GmM)/R=(GmM)/(2R)`
Now, `g=(GM)/(R^2)`
So, `W=(MgR^2)/(2R)=(mgR)/2`\
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