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A ring of radius R is first rotated with an angular velocity ω0 and then carefully placed on a rough horizontal surface. The coefficient of friction between the surface and the ring is μ. Time after which its angular speed is reduced to half is

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a
ω0μR2g
b
ω0g2μR
c
2ω0Rμg
d
ω0R2μg

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detailed solution

Correct option is D

 Taking τ about CM

μmgR=MR2αμg=Rαα=μgR

ω=ω0μgRt=ω02ω02=μgRtt=ω0R2μg

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