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Three objects, A: (a solid sphere), B: (a thin circular disk) and C: (a circular ring), each have the same mass M and radius R. They all spin with the same angular speed ω about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation

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a
WC>WB>WA
b
WA>WB>WC
c
WB>WA>WC
d
WA>WC>WB

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detailed solution

Correct option is A

Work done required to bring a object to restΔW=ΔKEΔW=12Iω2; where I= moment of inertia  For same ω,ΔW∝I For a solid sphere, IA=25MR2 For a thin circular disk, IB=12MR2 For a circular ring, IC=MR2∴  IC>IB>IA∴WC>WB>WA

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