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Questions  

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:

a
2π2n2r25s
b
π2n210r2s
c
78πr2n2s
d
5(πrn)214s

detailed solution

Correct option is A

1212Iω2=ms∆θ⇒14×25mr2×(2πn)2=ms∆θ

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Similar Questions

Consider the following statements.
(A) When a hot liquid is mixed with a cold liquid, the temperature of the mixer is undefined for some time and then becomes nearly constant.
(B) If two bodies at different temperature are mixed in a calorimeter, the total energy of the two bodies remains conserved.
Select the correct option.
(a) (A) is false but (B) is true.
(b) Both (A) and (B) are true.
(c) (A) is true but (B) is false.
(d) Both (A) and (B) are false.
 


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