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 answerB$\omega_{\mathrm{d}}=\omega$
- 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'.