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MHT CET Medical202622 April 2026Evening ShiftPhysicsOscillationsActual

There is a large difference between the frequencies of the external periodic force and the natural frequency of a body. The body will

Options

  1. Anot vibrate.
  2. Bvibrate with large amplitude at the frequency of external periodic force.
  3. Cvibrate with small amplitude at the frequency of external periodic force.
  4. Dvibrate with small amplitude at the own natural frequency.

Correct answer

C. vibrate with small amplitude at the frequency of external periodic force.

Step-by-step solution

When an external periodic force is applied to a body, it executes forced vibrations. The body vibrates with the frequency of the applied external periodic force, not its natural frequency. The amplitude of forced vibrations is given by A = F₀ m ( ^2 - ₀^2)^2 + (b /m)^2 , where is the frequency of the external force and ₀ is the natural frequency of the body. Since there is a large difference between the frequency of the external periodic force and the natural frequency, the term ( ^2 - ₀^2)^2 is very large. Consequ

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