Question Detail

PHY 104 PHY 104 Past Questions Objective Question

Question

The variation with frequency f of the amplitude A of the forced oscillations of a machine is as shown. Which of the following statement is false?
Options
A The resonance frequency of the system is 12 Hz.
B For no damping, the maximum amplitude is 1.6 cm.
Correct Answer
C Increased damping reduces the sharpness of the resonance peak
D Damping decreases the maximum amplitude of the oscillations.
Correct Answer

Option B is the correct answer.

Detailed Explanation

From the graph, the resonance frequency is 12 Hz. Increased damping reduces the sharpness of the peak (widens it) and decreases the maximum amplitude. The statement 'For no damping, the maximum amplitude is 1.6 cm' is likely false because with no damping, the amplitude would theoretically go to infinity at resonance.

Hint

Consider the effect of damping on forced oscillations.

Question Info