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In a damped harmonic oscillator, what happens to the amplitude over time? (2023)

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Question: In a damped harmonic oscillator, what happens to the amplitude over time? (2023)

Options:

  1. Increases
  2. Decreases
  3. Remains constant
  4. Oscillates

Correct Answer: Decreases

Exam Year: 2023

Solution:

In a damped harmonic oscillator, the amplitude decreases over time due to energy loss.

In a damped harmonic oscillator, what happens to the amplitude over time? (2023)

Practice Questions

Q1
In a damped harmonic oscillator, what happens to the amplitude over time? (2023)
  1. Increases
  2. Decreases
  3. Remains constant
  4. Oscillates

Questions & Step-by-Step Solutions

In a damped harmonic oscillator, what happens to the amplitude over time? (2023)
  • Step 1: Understand what a damped harmonic oscillator is. It is a system that oscillates (moves back and forth) but loses energy over time.
  • Step 2: Recognize that the energy loss is usually due to friction or resistance in the system.
  • Step 3: Realize that as the system loses energy, the maximum distance it moves from its resting position (amplitude) gets smaller.
  • Step 4: Observe that this decrease in amplitude happens gradually over time.
  • Step 5: Conclude that in a damped harmonic oscillator, the amplitude decreases continuously until the motion eventually stops.
  • Damped Harmonic Oscillator – A system where the amplitude of oscillation decreases over time due to energy loss, typically from friction or resistance.
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