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Q.

A solid sphere of mass 4 kg and radius 0.30 m is suspended from a wire. The time  period of its angular oscillation if the torsional constant of the wire is   6×10−3  Nm/rad

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a

0.15 s

b

6.2 s

c

15.49 s

d

30.76s

answer is D.

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Detailed Solution

For torsional pendulam,time period is T=2πIc for solid sphere moment of inertia =2MR25 T=2π2MR25chere I = moment of inertia; c= couple per unit twistT=2π2×4×0.325×6×10−3T=4π6T=4π2.44=30.76   sec
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