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Question

A ball moves over a fixed track as shown in figure. From A to B, the ball rolls without slipping. Surface BC is frictionless. KA,KB and KC are kinetic energies of the ball at A, B and C respectively. Then choose the correct alternative below-

(a) hA>hC; KB>KC (b) hA>hC; KC>KA(c) hA=hC; KB=KC (d) hA<hC; KB>KC

A
a, b
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B
a, c
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C
b, d
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D
None of these
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Solution

The correct option is A a, b
T.EA=T.EB=T.EC0 + mghA = 12mv2 + 12Iω2 + mgr= 12Iω2+ mghCSo KB>KC>KASo hA>hC

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