Question

In forced oscillation of a particle the amplitude is maximum for a frequency $\omega_1$ of the force, while the energy is maximum for a frequency $\omega_2$ of the force, then

• A. $\omega_1 = \omega_2$
• B. $\omega_1 > \omega_2$
• C. $\omega_1 < \omega_2$ when damping is small and $\omega_1 > \omega_2$ when damping is large
• D. $\omega_1 < \omega_2$

Answer 1

Answer: (A)

For the amplitude of oscillation and energy to be maximum, the frequency of force must be equal to the initial frequency and this is only possible in resonance. In resonance state $\omega_{1}=\omega_{2}$.