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A solid sphere has linear velocity v(0)=...

A solid sphere has linear velocity `v_(0)=4` m/s and angular velocity `omega_(0)=9` rad/s as shown. Ground on which it is moving , is smooth . It collides elastically with a rough wall of coefficient of friction `mu` . Radius of the sphere is 1m and mass is 2 kg .

If the sphere after colliding with the wall rolls without slipping on opposite direction, then coefdicient of friction `mu` is

A

`(1)/(2)`

B

`(2)/(3)`

C

`(1)/(3)`

D

`(1)/(4)`

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The correct Answer is:
D
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