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A particle of mass m was transferred fro...

A particle of mass m was transferred from the centre of the base of a uniform hemisphere of mass M and radius R into infinity.
What work was performed in the process by the gravitational force exerted on the particle by the hemisphere?

A

`(GMm)/(R)`

B

`-(1)/(2)(GMm)/(R)`

C

`-(3)/(2)(GMm)/(R)`

D

`-(3)/(4)(GMm)/(R)`

Text Solution

Verified by Experts

The correct Answer is:
C
P.E. of the system is equal to `U_(i)=-(3GMm)/(2R)`
work done
`implies-DeltaUimplies-[U_(f)-U_(i)]impliesU_(i)implies-(3GMm)/(2R)`
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