Question Detail

PHY 104 Oscillatory Motion Objective Question

Question

Resonance occurs in a driven harmonic oscillator when the frequency of the driving force (ω_d) is:
Options
A Much greater than the natural frequency (ω₀).
B Much smaller than the natural frequency (ω₀).
C Equal to or very near the natural frequency (ω₀).
Correct Answer
D Half the natural frequency (ω₀).
Correct Answer

Option C is the correct answer.

Detailed Explanation

Page 24 explains: 'The system oscillates at the angular frequency ω_d of the driving force. For small damping, the amplitude becomes very large when the frequency of the driving force is near the natural frequency ω_0 of the oscillating system. This increase in amplitude near ω_0 is called resonance.'

Hint

Resonance signifies a maximum response to the driving force.

Question Info