Four pendulums A, B, C and D are hung from th | vedclass

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(B) According to the given diagram,the lengths of pendulums $A$ and $C$ are the same.Since the time period of a simple pendulum is given by $T = 2 \pi

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$C$ will vibrate with max amplitude

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(B) According to the given diagram,the lengths of pendulums $A$ and $C$ are the same.Since the time period of a simple pendulum is given by $T = 2 \pi \sqrt{\frac{l}{g}}$,the time period $T$ depends only on the length $l$ (assuming $g$ is constant).Therefore,pendulums $A$ and $C$ have the same natural frequency of oscillation.When pendulum $A$ is set into motion,it acts as a driver for the elastic support,which in turn drives the other pendulums.Due to the principle of resonance,the pendulum whose natural frequency matches the driving frequency will vibrate with the maximum amplitude.Since $A$ and $C$ have the same natural frequency,pendulum $C$ will vibrate with the maximum amplitude.

Four pendulums $A, B, C$ and $D$ are hung from the same elastic support as shown in the figure. $A$ and $C$ are of the same length,while $B$ is shorter than $A$ and $C$,and $D$ is longer than $A$. If $A$ is given a displacement,then at steady state:

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