For destructive interference to occur in a thin film, the path difference must b

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Question: For destructive interference to occur in a thin film, the path difference must be equal to:

Options:

Correct Answer: nλ/2 (n is an integer)

Solution:

Destructive interference occurs when the path difference is an odd multiple of λ/2 (i.e., (2n+1)λ/2).

For destructive interference to occur in a thin film, the path difference must be equal to:

For destructive interference to occur in a thin film, the path difference must be equal to:

Step 1: Understand what destructive interference means. It happens when two waves meet and cancel each other out.
Step 2: Know that for this cancellation to happen, the waves must be out of phase by a specific amount.
Step 3: The path difference is the difference in distance traveled by the two waves before they meet.
Step 4: For destructive interference, this path difference must be equal to an odd multiple of half the wavelength (λ/2).
Step 5: This can be expressed mathematically as (2n+1)λ/2, where n is any whole number (0, 1, 2, ...).

Destructive Interference – Destructive interference occurs when two waves combine to produce a smaller amplitude, which in thin films happens when the path difference is an odd multiple of half the wavelength.
Thin Film Interference – Thin film interference is a phenomenon that occurs when light waves reflect off the two surfaces of a thin film, leading to constructive or destructive interference based on the path difference.
Path Difference – The path difference is the difference in distance traveled by two waves before they combine, which determines whether they interfere constructively or destructively.