Question Detail
Question
The variation with frequency for the amplitude A of the forced oscillations of a system is shown in the graph. Which of the following statement is false?
Correct Answer
Option B is the correct answer.
Detailed Explanation
Based on the provided graph of forced oscillations:A. The peak amplitude occurs at 12 Hz, which is the definition of resonance frequency. So, 'A' is true.B. The amplitude of oscillations varies with frequency. The value 1.5 cm is the maximum amplitude (at resonance), not the amplitude generally. Therefore, stating 'the amplitude of oscillations is 1.5 cm' is a generalization that is false, as the amplitude changes with frequency.C. In physics, increased damping does indeed reduce the sharpness (Q-factor) of the resonance peak. So, 'C' is true.D. Also, in physics, increased damping decreases the maximum amplitude attained at resonance. So, 'D' is true.Thus, the false statement is B.
Hint
Consider how the amplitude of forced oscillations changes with frequency, and what 'amplitude of oscillations' implies in general versus at resonance.