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?

Options

A. `(GMm)/(R)`
B. `-(1)/(2)(GMm)/(R)`
C. `-(3)/(2)(GMm)/(R)`
D. `-(3)/(4)(GMm)/(R)`

Answer

C

Explanation

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)`