What is the phase difference between two particles in a wave that are 1/4 wavele

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Question: What is the phase difference between two particles in a wave that are 1/4 wavelength apart? (2019)

Options:

Correct Answer: π/2 rad

Exam Year: 2019

Solution:

Phase difference (Δφ) = 2π × (distance / wavelength) = 2π × (1/4) = π/2 rad.

What is the phase difference between two particles in a wave that are 1/4 wavelength apart? (2019)

What is the phase difference between two particles in a wave that are 1/4 wavelength apart? (2019)

Step 1: Understand that a wave has a wavelength, which is the distance between two consecutive points that are in phase (like two peaks).
Step 2: Recognize that if two particles are 1/4 of a wavelength apart, we can express this distance as a fraction of the total wavelength.
Step 3: Use the formula for phase difference, which is Δφ = 2π × (distance / wavelength).
Step 4: Substitute the distance (1/4 of the wavelength) into the formula: Δφ = 2π × (1/4).
Step 5: Simplify the equation: 2π × (1/4) = π/2.
Step 6: Conclude that the phase difference between the two particles is π/2 radians.

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