Q179 / 225 · JEE Main 2004 · Physics

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

  • Correct answer
    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
    $\omega_1 < \omega_2$

Solution

Both amplitude and energy get maximised when the frequency is equal to the natural frequency. This is the condition of resonance. $$ \omega_1=\omega_2 $$

Hence, the correct answer is option: 'A'.

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