What Happens to Wavelength and Wave Speed When Amplitude Doubles?

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SUMMARY

When the amplitude of an oscillator doubles, the wavelength remains unchanged while the wave speed also remains constant. The amplitude, defined as the maximum value of displacement, does not influence the wavelength or wave speed directly. This conclusion is supported by the mathematical relationships governing wave properties, which indicate that amplitude affects only the energy of the wave, not its speed or wavelength.

PREREQUISITES
  • Understanding of wave properties, including amplitude, wavelength, and wave speed.
  • Familiarity with basic wave equations and their components.
  • Knowledge of oscillatory motion and its characteristics.
  • Ability to interpret mathematical expressions related to waveforms.
NEXT STEPS
  • Study the mathematical relationships in wave mechanics, focusing on the wave equation.
  • Explore the impact of amplitude on wave energy and its implications in physics.
  • Learn about different types of waves and their properties, such as sound waves and electromagnetic waves.
  • Investigate how wave speed is affected by medium properties rather than amplitude.
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, as well as educators seeking to clarify the relationship between amplitude, wavelength, and wave speed.

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Homework Statement


If the amplitude of the oscillator doubles, what happens to the wavelength and wave speed?

The wavelength doubles but the wave speed is unchanged.
The wavelength is unchanged but the wave speed doubles.
Both wavelength and wave speed are unchanged.




Homework Equations





The Attempt at a Solution



In this part, I don't believe neither the wavelength or wave speed will change, the amplitude (maximum value of displacement) just double but should not affect the wavelength or speed except where it begins to be measured. Right?
 
Last edited:
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Your intution is correct, but you could solve this problem better if you wrote down some mathematical expression for a waveform that contains the parameters amplitude, wavelength, and wave speed.
 

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