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Question

Resonance is a special case of

A
Forced oscillations
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B
Damped oscillations
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C
Undamped oscillations
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D
Coupled oscillations
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Solution

The correct option is A Forced oscillations
When a body is maintained in a state of oscillation by a periodic force of frequency other than the natural frequency of the body, the oscillations are called forced oscillations.

The response of the system towards the periodic force is considered at steady state condition, when the disturbances get stabilised with time.

When a body oscillates at its own natural frequency under the action of an external periodic force whose frequency is equal to the natural frequency of the body, the oscillations are said to be in the state of resonance.
Condition for resonance : f0=fd
where, f0= natural frequency
fd= frequency of external periodic force.
Thus, option (a) is the correct answer.

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