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A wave is described by the equation y(x, t) = 0.2 cos(4x - 5t). What is the ampl

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Question: A wave is described by the equation y(x, t) = 0.2 cos(4x - 5t). What is the amplitude of the wave?

Options:

  1. 0.1 m
  2. 0.2 m
  3. 0.3 m
  4. 0.4 m

Correct Answer: 0.2 m

Solution: 

The amplitude of the wave is the coefficient of the cosine function, which is 0.2 m.

A wave is described by the equation y(x, t) = 0.2 cos(4x - 5t). What is the ampl

Practice Questions

Q1
A wave is described by the equation y(x, t) = 0.2 cos(4x - 5t). What is the amplitude of the wave?
  1. 0.1 m
  2. 0.2 m
  3. 0.3 m
  4. 0.4 m

Questions & Step-by-Step Solutions

A wave is described by the equation y(x, t) = 0.2 cos(4x - 5t). What is the amplitude of the wave?
  • Step 1: Identify the wave equation given, which is y(x, t) = 0.2 cos(4x - 5t).
  • Step 2: Look for the coefficient in front of the cosine function. In this case, it is 0.2.
  • Step 3: Understand that the amplitude of a wave is defined as this coefficient.
  • Step 4: Conclude that the amplitude of the wave is 0.2 m.
  • Wave Properties – Understanding the characteristics of wave equations, specifically identifying amplitude from the standard form of a wave equation.
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