Zaymiey

⚛️ Physics  ·  Oscillations  ·  NEET & JEE

The quality factor Q of a damped oscillator with natural frequency f<sub>0</sub> = 1000 Hz and bandwidth Δf = 10 Hz is:

Answer: 100.

  • A 100
  • B 10
  • C 1000
  • D 0.01

Correct answer: A. 100

Explanation: Q = f<sub>0</sub>/Δf = 1000/10 = 100. A Q of 100 means the system rings for about 100 cycles before the amplitude drops significantly.

Displacement, Velocity, Acceleration in SHMx(t)v(t)a(t)v leads x by 90°; a is exactly out of phase with x (a = −ω²x)

In SHM, displacement and velocity are 90° out of phase (v is maximum when x=0, and zero when x is extreme), while acceleration is always exactly opposite in sign to displacement, consistent with a = −ω²x.

Concept context

Simple harmonic motion, spring-mass, pendulum, energy in SHM, and resonance.

Read the full Oscillations notes →