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Q.

A thin hollow sphere of mass m is completely filled with a liquid of mass m. The sphere rolls without slipping. Velocity of center of mass is v. Kinetic energy of the system is equal to

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a

12mv2

b

45mv2

c

43mv2

d

mv2

answer is C.

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Detailed Solution

KE = KEsphere+KEwater

= 12mv2(1+k2R2)+12mv2

= 12mv2(1+23)+12mv2

= 43mv2

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