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Q.

A metal sphere of radius rand specific heats is rotated about an axis passing through its centre at a speed of n rotations per second. It is suddenly stopped and 50% of its energy is used in increasing its temperature. Then the rise in temperature of the sphere is:

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a

2π2n2r25s

b

π2n210r2s

c

78πr2n2s

d

5(πrn)214s

answer is A.

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Detailed Solution

1212Iω2=ms∆θ⇒14×25mr2×(2πn)2=ms∆θ
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