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Q.

A chain of length l and mass m lies on the surface of a smooth hemisphere of radius R>l with one end tied to the top of the hemisphere. Taking the back of hemisphere as reference line, the gravitational potential energy of the chain is

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a

mgl

b

mgl2

c

mgRlsinlR

d

mgR2lsinlR

answer is D.

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Detailed Solution

U=∫dmgy=∫mlRdθgRcos⁡θ=mR2gl[sin⁡θ]0l/RU=mgR2lsin⁡lR
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