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If the amplitude of a wave is tripled, what happens to the energy carried by the

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Question: If the amplitude of a wave is tripled, what happens to the energy carried by the wave? (2019)

Options:

  1. It remains the same
  2. It doubles
  3. It triples
  4. It increases by a factor of nine

Correct Answer: It increases by a factor of nine

Exam Year: 2019

Solution: 

The energy carried by a wave is proportional to the square of the amplitude. Therefore, if the amplitude is tripled, the energy increases by a factor of 3^2 = 9.

If the amplitude of a wave is tripled, what happens to the energy carried by the

Practice Questions

Q1
If the amplitude of a wave is tripled, what happens to the energy carried by the wave? (2019)
  1. It remains the same
  2. It doubles
  3. It triples
  4. It increases by a factor of nine

Questions & Step-by-Step Solutions

If the amplitude of a wave is tripled, what happens to the energy carried by the wave? (2019)
  • Step 1: Understand what amplitude means. Amplitude is the height of the wave from its rest position.
  • Step 2: Know that energy in a wave is related to its amplitude. Specifically, energy is proportional to the square of the amplitude.
  • Step 3: If the amplitude is tripled, we can express this mathematically as 3 times the original amplitude.
  • Step 4: To find the new energy, we need to square the new amplitude. So, we calculate (3 * original amplitude)^2.
  • Step 5: This simplifies to 3^2 * (original amplitude)^2, which equals 9 times the original energy.
  • Step 6: Therefore, if the amplitude is tripled, the energy carried by the wave increases by a factor of 9.
  • Wave Energy and Amplitude Relationship – The energy carried by a wave is proportional to the square of its amplitude, meaning that changes in amplitude significantly affect energy.
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