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Byju's Answer

Standard XII

Physics

String Fixed at Both Ends

Four pendulum...

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.

D will vibrate with maximum amplitude.

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C will vibrate with maximum amplitude.

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B will vibrate with maximum amplitude.

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All the four will oscillate with equal amplitude.

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Solution

The correct option is C C will vibrate with maximum amplitude.
Since length of pendulum A and C is same and $T = 2 π \sqrt{\frac{L}{g}}$ , 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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