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)`

A particle of mass m was transferred from the centre of the base of a

1.	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)`
Answer» Correct Answer - 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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