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 thatn A and D is larger than A. If A is given a transverse displacement,

Options

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 oscillate with equal amplitude

Answer

B

Explanation

Here `A` is given transverse displacement. Through the elastic support the disturance is transferred to all the pendulums.
`A` and `C` are having same length, hence they will be in resonance, because of their time period of oscillations. Since length of pendulums `A` and `C` is same and `T = 2pi sqrt((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.