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Q.

Figure shows a particle of mass m attached with four identical springs, each of length l. Initial tension in each spring is F0.Neglecting gravity, calculate period of small oscillations of the particle along a line perpendicular to the plane of the figure.

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a

T=πml4F0

b

T=2ml4F0

c

T=ml4F0

d

T=2πml4F0

answer is D.

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Detailed Solution

.If the particle is displaced down by y , then restoring force =F=-4F0l×y

The acceleration of the particle 

a=4F0ml-y Thus      T=2πml4F0

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