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What is the phase difference between two particles executing simple harmonic mot

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Question: What is the phase difference between two particles executing simple harmonic motion in the same direction with the same frequency? (2021)

Options:

  1. 0
  2. π/2
  3. π
  4. 3π/2

Correct Answer: 0

Exam Year: 2021

Solution: 

If they have the same frequency and direction, the phase difference is 0.

What is the phase difference between two particles executing simple harmonic mot

Practice Questions

Q1
What is the phase difference between two particles executing simple harmonic motion in the same direction with the same frequency? (2021)
  1. 0
  2. π/2
  3. π
  4. 3π/2

Questions & Step-by-Step Solutions

What is the phase difference between two particles executing simple harmonic motion in the same direction with the same frequency? (2021)
  • Step 1: Understand what simple harmonic motion (SHM) is. It is a type of periodic motion where an object moves back and forth around a central point.
  • Step 2: Recognize that frequency refers to how often the motion repeats in a given time period.
  • Step 3: Note that when two particles are executing SHM in the same direction, they are moving in a similar pattern.
  • Step 4: Realize that if both particles have the same frequency, they complete their cycles in the same amount of time.
  • Step 5: Since they are moving in the same direction and have the same frequency, they will reach the same position at the same time.
  • Step 6: Conclude that the phase difference, which measures how far apart the two particles are in their motion, is 0.
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