A wave traveling along a string is described by the equation y(x, t) = A sin(kx

Practice Questions

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

Questions & Step-by-Step Solutions

A wave traveling along a string is described by the equation y(x, t) = A sin(kx - ωt). What does 'A' represent?
Correct Answer: Amplitude of the wave
  • Step 1: Look at the wave equation given: y(x, t) = A sin(kx - ωt).
  • Step 2: Identify the different parts of the equation. 'A' is one of these parts.
  • Step 3: Understand what 'A' represents in the context of waves.
  • Step 4: 'A' is known as the amplitude of the wave.
  • Step 5: The amplitude is the maximum height or distance the wave reaches from its rest position (equilibrium).
  • Step 6: Therefore, 'A' tells us how strong or intense the wave is based on its maximum displacement.
  • Wave Properties – Understanding the characteristics of waves, including amplitude, wavelength, frequency, and speed.
  • Mathematical Representation of Waves – Interpreting wave equations and identifying their components, such as amplitude, wave number, and angular frequency.
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