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)

$\omega_1 = \omega_2$

Answer 2

Both amplitude and energy get maximised when the frequency is equal to the natural frequency. This is the condition of resonance. $?_1 = ?_2$