Which of the following is an example of undamped oscillations?

  1. Stretched guitar string
  2. Bob of a simple pendulum displaced in vacuum
  3. Bob of a simple pendulum in air
  4. A child swinging on a swing with no additional external force

Answer (Detailed Solution Below)

Option 2 : Bob of a simple pendulum displaced in vacuum
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CONCEPT:

  • Oscillation: Back and forth movement about a mean position in a regular rhythm is called oscillation.
  • An undamped oscillation is a type of simple harmonic oscillation whose amplitude remains constant with time. Example: a bob of a simple pendulum displaced in a vacuum as there is no resistance to damp the amplitude.
  • When the amplitude of oscillations of a simple harmonic system decreases with time, the oscillations are called damped simple harmonic oscillations. For instance, the oscillations of the bob of a simple pendulum in the air stretched guitar string and a child swinging on a swing with no additional external force.

EXPLANATION:

  • In the oscillations of a bob or other SHM, air friction or other damp forces are present.
    • So, the amplitude of oscillations decreases with time.
  • In a vacuum, there is no air friction or damped force. So, there will no decrease in amplitude with time.
  • Hence we can get undamped oscillations in a vacuum.
  • So, The correct answer is option 2.
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