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Home » 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,
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,
CBSE | Class 11 | NCERT Exemplar | Oscillations | Physics
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 four will oscillate with equal amplitude

Answer:

The correct option b) C will vibrate with maximum amplitude

Explanation:

When a pendulum vibrates in a transverse direction, we have the time period defined as:

T=2\pi \sqrt{\frac{l}{g}}

A and C’s pendulum lengths are equal to l. The disruption that occurs in the elastic rigid support of time period T. All pendulums B, C, and D are transmitted through support, but the frequency or time is not. Because C has the same period as A, a periodic force of period T causes resonance in C and C to have the same maximum as in resonance.

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