What is the phase difference between two particles in the same wave at a distanc

Practice Questions

Q1
What is the phase difference between two particles in the same wave at a distance of half a wavelength? (2022)
  1. 0 radians
  2. π/2 radians
  3. π radians
  4. 3π/2 radians

Questions & Step-by-Step Solutions

What is the phase difference between two particles in the same wave at a distance of half a wavelength? (2022)
  • Step 1: Understand what a wavelength is. A wavelength is the distance between two consecutive points in a wave that are in the same phase, like from crest to crest or trough to trough.
  • Step 2: Recognize that half a wavelength is the distance from one crest to the next trough (or vice versa). This distance is equal to λ/2, where λ is the wavelength.
  • Step 3: Know that a full wave cycle corresponds to a phase change of 2π radians. This means that half a wavelength corresponds to a phase change of half of that, which is π radians.
  • Step 4: Conclude that the phase difference between two particles in the same wave that are separated by half a wavelength is π radians.
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