Q132 / 160 · AP EAMCET 2023 (17 May Shift 1) · Physics

When an external force with angular frequency $\omega_d$ acts on a system of natural angular frequency $\omega$, the system oscillates with angular frequency $\omega_{\mathrm{d}}$. The condition for the amplitude of oscillations to be maximum is

  • A
    $\omega_{\mathrm{d}}=2 \omega$
  • Correct answer
    B
    $\omega_{\mathrm{d}}=\omega$
  • C
    $\omega_d=\frac{\omega}{2}$
  • D
    $\omega_{\mathrm{d}}=3 \omega$

Solution

Both amplitude and energy get maximized when the frequency is equal to the natural frequency. This is the condition of resonance. $\omega_{\mathrm{d}}=\omega$

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

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