If two waves of equal amplitude interfere destructively, what is the phase diffe

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Question: If two waves of equal amplitude interfere destructively, what is the phase difference between them?

Options:

Correct Answer: π rad

Solution:

Destructive interference occurs when the phase difference is π rad.

If two waves of equal amplitude interfere destructively, what is the phase difference between them?

If two waves of equal amplitude interfere destructively, what is the phase difference between them?

Step 1: Understand what interference means. When two waves meet, they can combine to form a new wave.
Step 2: Know the types of interference. There are two types: constructive (waves add together) and destructive (waves cancel each other out).
Step 3: Recognize that for destructive interference to happen, the waves must be out of sync.
Step 4: Learn about phase difference. Phase difference is the amount by which one wave is ahead or behind another wave, measured in radians.
Step 5: Identify the specific phase difference for destructive interference. It is π radians (or 180 degrees). This means one wave is exactly half a cycle out of sync with the other.

Destructive Interference – Destructive interference occurs when two waves combine in such a way that their amplitudes cancel each other out, resulting in a lower amplitude or no wave at all.
Phase Difference – The phase difference between two waves is the amount by which one wave is ahead or behind the other, measured in radians.