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Question: Answered & Verified by Expert
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
PhysicsOscillationsJEE MainJEE Main 2004
Options:
  • 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:
2911 Upvotes Verified Answer
The correct answer is:
$\omega_1=\omega_2$
Both amplitude and energy get maximised when the frequency is equal to the natural frequency. This is the condition of resonance.
$$
\omega_1=\omega_2
$$

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