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Question

Four pendulums A,B,C and D are suspended from the same elastic support as shown in figure. 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,


[Assume there is no loss of energy]

A
D will vibrate with maximum amplitude
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B
C will vibrate with maximum amplitude
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C
B will vibrate with maximum amplitude
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D
All the four will oscillate with equal amplitude
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Solution

The correct option is B C will vibrate with maximum amplitude
According to the question, A is given tranverse displacement.


Through the elastic support, the disturbance is transferred to all the pendulums.
A and C have same length, hence they will be in resonance, because their time period of oscillation, T=2πlg and hence angular frequency are the same.
So, amplitude of A and C will be maximum.

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