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Standard XII
Physics
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.
938851_902a5f9d9d2942648ad21d47c005d63f.png
  1. D will vibrate with maximum amplitude.
  2. B will vibrate with maximum amplitude.
  3. C will vibrate with maximum amplitude.
  4. All the four will oscillate with equal amplitude.

A
D will vibrate with maximum amplitude.
B
B will vibrate with maximum amplitude.
C
All the four will oscillate with equal amplitude.
D
C will vibrate with maximum amplitude.
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Solution
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Since length of pendulum A and C is same and T=2π√Lg, 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.
1078026_938851_ans_013308be42814758a0abbb01c7a0366b.png

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