Question Detail

PHY 104 Oscillatory Motion Objective Question

Question

According to the text, which of the following is true about the power input to a driven oscillator?
Options
A The power input is directly proportional to the strength of the damping.
B The power input is maximized when the phase shift δ₀ = 0.
C The power input has its maximum value when the driving frequency is equal to the natural frequency (ω = ω₀).
Correct Answer
D The power input is independent of the driving frequency.
Correct Answer

Option C is the correct answer.

Detailed Explanation

The text on page 25, under Equation (63), states: '(i) The power input inversely proportional to the strength of the damping. (ii) For variable driving frequency ω, the power input has its maximum value when δ₀ = ±π/2 or tan δ₀ → ±∞. This occurs when ω = ω₀. This situation is called resonance.' Therefore, option C is correct.

Hint

Examine the properties of a driven oscillator, particularly concerning power input, described on page 25, Equation (63).

Question Info