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A block of mass M slides down a rough inclined surface of inclination 'θ‘ and reaches the bottom at speed ’v'. However, if it slides down a smooth inclined surface of same length and same inclination, it reaches the bottom with speed kv. Coefficient of friction between the block and the rough incline is:

a
sin⁡θk2−1
b
k2−1k2tan⁡θ
c
k2+1k2cos⁡θ
d
k2−1k2

detailed solution

Correct option is B

v=2g(sin⁡θ−μcos⁡θ)s and kv=2gsin⁡θs

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