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