Q.

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

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a

ωn

b

ωn2

c

nω

d

n2ω

answer is D.

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Detailed Solution

Iω=I1ω1.I=25mr2,I1=25mrn2=In2. Hence Iω=I1n2ω1or ω1=n2ω, which is choice (4).
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A solid sphere is rotating about a diameter at an angular velocity ω. If it cools so that its radius reduces to 1n of its original value, its angular velocity becomes