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

Four pendulums A,B,C and D are suspended from the same elastic support as shown in Fig. A and C are of the same length, while B is smaller than A and D is larger then 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
Since length of pendulums A and C is same and `T=2pisqrt((L)/(g))`, hence their time period is same and they will have same frequency of vibration. Due to it, a resonance will take place and the pendulum C will vibrate with maximum amplitude.
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