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Q.

The moment of inertia of a body about a given axis is 1.2kgm2,Initially, the body is at rest. In order to produce a rotational kinetic energy of 1500J,an  angular acceleration of 25 rad s- 2 must be applied about that axis for a duration of

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a

4 sec

b

2 sec

c

8 sec

d

10 sec

answer is B.

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Detailed Solution

E=12Iω2  or  1500=12×1⋅2×ω2∴ ω2=30001⋅2=2500 or ω=50rad/secnow, t=ωα=5025=2sec
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