In forced oscillation of a particle the amplitude is maximum for a frequency `omega_(2)` of the force while the energy is maximum for a frequecyomega_(2) of the force, then .

Options

A. `omega_(1) lt omega_(2)`
B. `omega_(1)lt omega_(2)` when damping is small and `omega_(1) gt omega_(2)` when damping is large
C. `omega_(1) gt omega_(2)`
D. `omega_(1)=omega_(2)`

Answer

D

Explanation

In forced oscillations, when the natural frequency of the body is equal to frequency of the applied force, the body begins to vibrate with a very large force. This phenomenon is called resonance. At resonance, both the amplitude and the energy are maximum. hence, in the given question `omega_(1)=omega_(2)`.