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Q.

Two light strings, each of length l, are fixed at points A and B on a fixed horizontal rod xy. A small bob is tied by both strings and in equilibrium, the strings are making angle 45° with the rod. If the bob is slightly displaced normal to the plane of the strings and released then period of the resulting small oscillation will be:

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a

2π2lg

b

2πlg

c

2πl2g

d

2π22lg

answer is D.

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Detailed Solution

Resulting torque on the bob = mgl2sinθ

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MI of bob about axis xy = ml22

For small angle θ

ω = 2gl    T = 2πl2g

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