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 half a wavelength? (2022)

Options:

Correct Answer: π radians

Exam Year: 2022

Solution:

The phase difference between two points separated by half a wavelength is π radians.

What is the phase difference between two particles in the same wave at a distance of half a wavelength? (2022)

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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