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A solid sphere of mass m and radius R is...

A solid sphere of mass `m` and radius `R` is released from top of an incline having co-efficent of friction `mu` and making an angle of `45^(@)` with the horizontal. Choose the correct alternative (s)

A

The force of friction acting on the sphere is `(mu mg)/(sqrt(2))` if `mu lt 0.25`

B

The force of friction acting on the sphere is `(sqrt(2))/(7)mg` if `mu gt 0.3`

C

Work done by force of friction is zero if `mu gt 0.3`

D

Work done by force of friction is non-zero if `mu gt 0.3`

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