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What is the phase difference between two particles in simple harmonic motion tha

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Question: What is the phase difference between two particles in simple harmonic motion that are 90 degrees out of phase?

Options:

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

Correct Answer: π/2 radians

Solution: 

A phase difference of 90 degrees corresponds to π/2 radians.

What is the phase difference between two particles in simple harmonic motion tha

Practice Questions

Q1
What is the phase difference between two particles in simple harmonic motion that are 90 degrees out of phase?
  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 simple harmonic motion that are 90 degrees out of phase?
  • Step 1: Understand what 'phase difference' means. It refers to how far one wave or particle is ahead or behind another in its cycle.
  • Step 2: Know that a full cycle of motion is 360 degrees.
  • Step 3: Recognize that 90 degrees is one-quarter of a full cycle (360 degrees).
  • Step 4: Convert 90 degrees into radians. Use the fact that 180 degrees equals π radians.
  • Step 5: Calculate the conversion: 90 degrees is equal to π/2 radians.
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