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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 will 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 pendulum A and C are of same length.
Time period of a pendulum
`T = 2pisqrt((l)/(g))`
So both A and C have same time period and same frequency and due to resonance, the pendulum C will vibrate with maximum amplitude.
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