$A$ particle with a restoring force proportional to displacement and a resisting force proportional to velocity is subjected to a driving force $F \sin \omega t$. If the amplitude of the particle is maximum for $\omega = \omega_1$ and the energy of the particle is maximum for $\omega = \omega_2$,then (where $\omega_0$ is the natural frequency of oscillation of the particle):

  • A
    $\omega_1 = \omega_0$ and $\omega_2 \neq \omega_0$
  • B
    $\omega_1 \neq \omega_0$ and $\omega_2 = \omega_0$
  • C
    $\omega_1 = \omega_0$ and $\omega_2 = \omega_0$
  • D
    $\omega_1 \neq \omega_0$ and $\omega_2 \neq \omega_0$

Explore More

Similar Questions

The amplitude of a wave is represented by $A = \frac{c}{a + b - c}$. Resonance will occur when:

The displacement of a damped harmonic oscillator is given by $x(t) = e^{-0.1 t} \cos(10 \pi t + \varphi)$. Here $t$ is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to: (in $s$)

If a damped oscillator is very heavily damped,what is its frequency?

What are damped oscillations? Discuss them using the illustration of a spring.

Difficult
View Solution

$A$ particle is performing simple harmonic motion. If the oscillations are damped oscillations,then the angular frequency is given by:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo