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AP EAMCET · PHYSICS · Oscillations

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

  1. A \(\omega_{\mathrm{d}}=2 \omega\)
  2. B \(\omega_{\mathrm{d}}=\omega\)
  3. C \(\omega_d=\frac{\omega}{2}\)
  4. D \(\omega_{\mathrm{d}}=3 \omega\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\omega_{\mathrm{d}}=\omega\)

Step-by-step Solution

Detailed explanation

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