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Q.

When a sphere rolls without slipping the ratio of its kinetic energy of translation to its total kinetic energy is

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a

1 :7

b

1 : 2

c

1 : 1 

d

5 : 7

answer is D.

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Detailed Solution

EkE=12mv212mv2+122
=12mv212mv2+12×25mr2×v2/r2
                        I=25mr2 and V=
=11+(2/5)=57  or  5:7

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