What is the condition for constructive interference in a double-slit experiment?

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Question: What is the condition for constructive interference in a double-slit experiment?

Options:

Correct Answer: Path difference is an even multiple of lambda

Solution:

Constructive interference occurs when the path difference between the two waves is an even multiple of the wavelength (nλ, where n is an integer).

What is the condition for constructive interference in a double-slit experiment?

What is the condition for constructive interference in a double-slit experiment?

Correct Answer: Path difference = nλ (n is an integer)

Step 1: Understand that in a double-slit experiment, two waves are created from two slits.
Step 2: Know that these waves travel different distances to reach a point on a screen.
Step 3: The difference in distance traveled by the two waves is called the 'path difference.'
Step 4: For constructive interference to happen, the path difference must be a whole number multiple of the wavelength.
Step 5: This means the path difference can be 0, 1 wavelength, 2 wavelengths, etc. (nλ, where n is 0, 1, 2, 3, ...).
Step 6: When this condition is met, the waves add together to make a brighter light on the screen.

Constructive Interference – Constructive interference occurs when two waves combine to produce a wave of greater amplitude, which happens when their path difference is an even multiple of the wavelength.
Double-Slit Experiment – A classic physics experiment demonstrating the wave nature of light, where light passing through two slits creates an interference pattern on a screen.
Path Difference – The difference in distance traveled by two waves from their source to a common point, which determines whether they interfere constructively or destructively.