If two waves have a phase difference of π radians, what type of interference occ

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Question: If two waves have a phase difference of π radians, what type of interference occurs?

Options:

Correct Answer: Destructive interference

Solution:

A phase difference of π radians results in destructive interference.

If two waves have a phase difference of π radians, what type of interference occurs?

If two waves have a phase difference of π radians, what type of interference occurs?

Step 1: Understand what a wave is. A wave is a repeating disturbance that travels through space and time.
Step 2: Learn about phase difference. Phase difference is the difference in the position of two waves at a given point in time.
Step 3: Know that π radians is equivalent to 180 degrees. This means the two waves are exactly out of sync.
Step 4: Recognize that when two waves are out of sync by π radians, the peak of one wave aligns with the trough of the other wave.
Step 5: Understand that this alignment causes the waves to cancel each other out, which is called destructive interference.
Step 6: Conclude that a phase difference of π radians results in destructive interference.

Phase Difference – The difference in phase between two waves, measured in radians, which determines the type of interference that occurs when the waves interact.
Destructive Interference – A phenomenon that occurs when two waves are out of phase (e.g., a phase difference of π radians), leading to a reduction in amplitude or cancellation of the waves.