A solid sphere has linear velocity v0=4m...

A solid sphere has linear velocity `v_0=4m//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 with a rough wall of coefficient of friction `mu.` Radius of the sphere is 1 m and mass is 2 kg.

If the sphere after colliding with the wall rolls without slipping in opposite direction, the coefficient of friction `mu` is

`1/2`

`2/3`

`1/3`

`1/4`

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