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 figure. A and C are of the same length , while B is smaller thatn A and D is larger than A. If A is given a transverse displacement,

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

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The correct Answer is:

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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