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Q.

A solid sphere and a hallow sphere of same mass and radius rotate about their diameter with same K.E. If torques of equal magnitude are applied on them, the ratio of their angular displacement before they are brought to rest is                   

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a

5:3

b

1:1

c

2:3

d

3:5

answer is A.

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Detailed Solution

w=τ.θ⇒θ1=wτ=k.t1τ1

θ2=wτ=k.t2τ2

k.t1=k.t2&τ1=τ2

θ1θ2=k.t1τ1k.t2τ2

⇒θ1:θ2=1:1

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