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What is the phase difference between two points on a wave that are half a wavele

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Question: What is the phase difference between two points on a wave that are half a wavelength apart?

Options:

  1. 0 radians
  2. π/2 radians
  3. π radians
  4. 2π radians

Correct Answer: π radians

Solution:

The phase difference between two points that are half a wavelength apart is π radians.

What is the phase difference between two points on a wave that are half a wavele

Practice Questions

Q1
What is the phase difference between two points on a wave that are half a wavelength apart?
  1. 0 radians
  2. π/2 radians
  3. π radians
  4. 2π radians

Questions & Step-by-Step Solutions

What is the phase difference between two points on a wave that are half a wavelength apart?
Correct Answer: π radians
  • Step 1: Understand what a wavelength is. A wavelength is the distance between two consecutive points on a wave that are in the same phase (like two peaks or two troughs).
  • Step 2: Know that a full wave (one complete cycle) corresponds to a phase change of 2π radians.
  • Step 3: Realize that half a wavelength is half of the full wave. Therefore, half a wavelength corresponds to a phase change of 2π radians divided by 2.
  • Step 4: Calculate the phase difference: 2π radians / 2 = π radians.
  • Step 5: Conclude that the phase difference between two points on a wave that are half a wavelength apart is π radians.
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