Question:
There is a large difference between the frequencies of the external periodic force and the natural frequency of a body. The body will
There is a large difference between the frequencies of the external periodic force and the natural frequency of a body. The body will
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A driven oscillator vibrates at the driving frequency, with a large amplitude only near resonance.
Updated On: Nov 12, 2026
- not vibrate.
- vibrate with large amplitude at the frequency of external periodic force.
- vibrate with small amplitude at the frequency of external periodic force.
- vibrate with small amplitude at the own natural frequency.
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The Correct Option is C
Solution and Explanation
Step 1: Understanding the Concept
A body acted on by a periodic force performs forced oscillations. In the steady state it vibrates at the frequency of the external force.
Step 2: Amplitude
The amplitude is large only when the driving frequency is close to the natural frequency (resonance). When they are far apart, the amplitude is small.
Step 3: Why the other options fail
The body does vibrate and large amplitude needs the frequencies to be close, so only small amplitude at the driving frequency fits.
Final Answer:
The body vibrates with small amplitude at the frequency of the external force. \[ \boxed{\text{(C) }\text{vibrate with small amplitude at the frequency of external periodic force}} \]
A body acted on by a periodic force performs forced oscillations. In the steady state it vibrates at the frequency of the external force.
Step 2: Amplitude
The amplitude is large only when the driving frequency is close to the natural frequency (resonance). When they are far apart, the amplitude is small.
Step 3: Why the other options fail
The body does vibrate and large amplitude needs the frequencies to be close, so only small amplitude at the driving frequency fits.
Final Answer:
The body vibrates with small amplitude at the frequency of the external force. \[ \boxed{\text{(C) }\text{vibrate with small amplitude at the frequency of external periodic force}} \]
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