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A wave on a string is described by the equation y(x, t) = A sin(kx - ωt). What d

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Question: A wave on a string is described by the equation y(x, t) = A sin(kx - ωt). What does \'A\' represent?

Options:

  1. Wavelength
  2. Frequency
  3. Amplitude
  4. Wave number

Correct Answer: Amplitude

Solution: 

\'A\' represents the amplitude of the wave, which is the maximum displacement from the equilibrium position.

A wave on a string is described by the equation y(x, t) = A sin(kx - ωt). What d

Practice Questions

Q1
A wave on a string is described by the equation y(x, t) = A sin(kx - ωt). What does 'A' represent?
  1. Wavelength
  2. Frequency
  3. Amplitude
  4. Wave number

Questions & Step-by-Step Solutions

A wave on a string is described by the equation y(x, t) = A sin(kx - ωt). What does 'A' represent?
  • Step 1: Look at the wave equation given: y(x, t) = A sin(kx - ωt).
  • Step 2: Identify the variable 'A' in the equation.
  • Step 3: Understand that 'A' is a constant that affects the height of the wave.
  • Step 4: Recognize that 'A' represents the amplitude of the wave.
  • Step 5: Know that amplitude is the maximum distance the wave moves from its rest position (equilibrium).
  • Amplitude – The maximum displacement of a wave from its equilibrium position.
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