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Q.

Four bodies, a ring, a solid cylinder, a hollow sphere and a solid sphere all of same mass roll down an incline without slipping. The body that reaches the bottom with greatest rotational kinetic energy   

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a

Ring

b

Solid cylinder   

c

Hollow sphere 

d

Solid sphere

answer is A.

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Detailed Solution

Translational kinetic energy

=Total  energy1+(k2r2)

Translational kinetic energy is least for ring 

so rotational Kinetic energy is maximum for ring

 as  total energy is same for all.

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