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Question

A weakly damped harmonic oscillator of frequency n1 is driven by an external periodic force of frequency n2. When the steady state is reached, the frequency of the oscillator will be
  1. n1
  2. n2
  3. n1+n22
  4. (n1+n2)


Solution

The correct option is B n2
Given,
Frequency of weakly damped harmonic oscillator =n1
Frequency of external periodic force =n2

Steady state is achieved when external force has acted for a sufficiently long time. Therefore, system starts oscillating with the frequency of driving force.
Frequency of oscillator will be equal to n2.

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