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Four pendulums A, B, C and D are suspend...

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,

A

D will vibrate with maximum amplitude

B

C will vibrate with maximum amplitude

C

B will vibrate with maximum amplitude

D

All the four will oscillate with equal amplitude

Text Solution

Verified by Experts

The correct Answer is:
B
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=2pisqrt((l)/(g))` and hence, frequency is same.
So, amplitude of A and 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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