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. The work was performed in the process by the gravitational force exerted

Question

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. The work was performed in the process by the gravitational force exerted on the particle by the hemisphere is 2 − n ​ R GMm ​ , Then find the value of n :-

TestHub · Accepted Answer

A = − 2 3 ​ R GmM ​ ​ W g ​ = Δ U g ​ ​ = − m ( Δ V g ​ ) ​ = − m ( V g f ​ − V g i ​ ) ​ = − m ( V ∞ ​ − V C ​ ) ​ W g ​ = − m ( 0 − ( 2 R − 3 GM ​ ) ) ​ = − 2 R 3 G m M ​ ​

Physics - Gravitation Question with Solution | TestHub

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JEE Main 2027 (Class 12)

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