Consider the following statements 1. In forced oscillation, the amplitude of the oscillator decreases due to damping forces. 2. Due to a decrease in amplitude the energy of the oscillator also goes on decreasing exponentially. Which of the following statement is CORRECT?

Consider the following statements 1. In forced oscillation, the amplitude of the oscillator decreases due to damping forces. 2. Due to a decrease in amplitude the energy of the oscillator also goes on decreasing exponentially. Which of the following statement is CORRECT? Correct Answer Only 1

CONCEPT:

  • Damped oscillation: The oscillation of a body whose amplitude goes on decreasing with time are defined as a damped oscillation.
  • Forced oscillation: The oscillation in which a body oscillates under the influence of an external periodic force is known as forced oscillation.
  • The external agent which exerts the periodic force is called the driver and the oscillating system under consideration is called the driver body.


EXPLANATION:

  • In forced oscillation, the amplitude of oscillator decreases due to damping forces but on account of the energy gained from the external source, it remains constant. Therefore only statement 1 correct.
  • In damped oscillation, the amplitude of oscillation decreases exponentially due to damping forces like frictional force, viscous  force, hystersis etc . Due to a decrease in amplitude the energy of the oscillator also goes on decreasing exponentially.

Related Questions

Statement: Resonance is a special case of forced vibration in which the nature and frequency of vibration of the body are the same as the impressed frequency and the amplitude of forced vibration, is maximum. Reason: The amplitude of forced vibrations of a body increases with an increase in the frequency of the externally impressed periodic force.