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Q.

A solid sphere is rotating about a diameter at an angular velocity ω If it cools so that its radius reduces to 1nof its original value, its angular velocity becomes

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a

ωn

b

ωn2

c

d

n2ω

answer is D.

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Detailed Solution

We know that I1ω1=I2ω2For solid sphere, the moment of inertia about diameter is given byI=25mr2∴ 25mr12ω1=25mr22ω2 or  r12ω=r1n2ω2ω2=n2ω
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