Four pendulums A, B, C and D are suspended from the same elastic support as shown in figure. [NCERT Exemplar]A and C are of the same length, while B is smaller than A and D is larger than A. If A is given a transverse displacement,

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D will vibrate with maximum amplitude

C will vibrate with maximum amplitude

B will vibrate with maximum amplitude

All the four will oscillate with equal amplitude

answer is B.

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Detailed Solution

According to the question, A is given a transverse displacement.Through the elastic support, the disturbance is transferred to all the pendulums.A and C are having same length, hence they will be in resonance, because their time period of oscillation, T = 2πlgand hence, frequency will be same.So, amplitude of C will be maximum.Note In this problem, we have assumed that the support is perfectly elastic and there is no damping. Hence, oscillation is considered as undamped.

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