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  • Four pendulums A, B, C and D are suspended from the same elastic support as shown in the figure. A and C are of the same length, while B is smaller than A and D is larger than A.

Four pendulums A, B, C and D are suspended from the same elastic support as shown in the 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 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



 

Answers (1)

The answer is the option (b) C will vibrate with maximum amplitude.

Explanation: If the pendulum vibrates with transverse vibration,

Time period, T=2\pi \sqrt{\frac{l}{g}}, where,

l = length of pendulum A & C.

Now, the disturbance produced is transmitted to all pendulum, i.e., B, C & D, where the time period (T) of C & A is the same. C will vibrate with a maximum in resonance, as the periodic force of period T produces resonance in C.

Hence, opt (b).

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