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Power In Wave

Hardphysics

Power transmitted by a sinusoidal wave on a string increases with?

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About This Question

Subject
physics
Chapter
oscillations and waves
Topic
power in wave
Difficulty
Hard
Year
2025
Tags
PowerWaveDependence

Solution

Correct Answer:

Amplitude squared and frequency squared

  1. Average Power Formula: For a string of linear density and wave speed , the average power is .
  2. Variables Check:
    • (angular frequency)
    • = amplitude
  3. Proportionality: Sustituting gives .
  4. Conclusion: Power is directly proportional to the Square of the amplitude and the Square of the frequency.
  5. Impact: Increasing both and by a factor of 2 leads to a -fold increase in power transmitted.

This hard difficulty physics question is from the chapter oscillations and waves, covering the topic of power in wave. It appeared in the 2025 exam.

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