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

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Question: What is the phase difference between two particles in the same wave at a distance of λ/2?

Options:

Correct Answer: π radians

Solution:

The phase difference between two points in the same wave separated by a distance of λ/2 is π radians.

What is the phase difference between two particles in the same wave at a distance of λ/2?

What is the phase difference between two particles in the same wave at a distance of λ/2?

Step 1: Understand that a wave has a repeating pattern, and this pattern is called a wavelength (λ).
Step 2: Recognize that the wavelength (λ) is the distance over which the wave's shape repeats.
Step 3: Know that the phase of a wave describes the position of a point in the wave cycle.
Step 4: Realize that a full cycle of a wave corresponds to a phase change of 2π radians.
Step 5: Calculate the phase difference for a distance of λ/2. Since λ is the full wavelength, λ/2 is half of that distance.
Step 6: Understand that moving a distance of λ/2 means you have moved through half of the wave cycle.
Step 7: Since half of a full cycle corresponds to a phase change of π radians, the phase difference is π radians.

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