Question Detail

PHY 104 Diffraction and Interference of light waves Objective Question

Question

What is the condition for the formation of dark fringes (destructive interference) in Young's double-slit experiment, in terms of path difference Δρ?
Options
A Δρ = nλ, for n = 0, 1, 2, 3...
B Δρ = 0 only.
C Δρ = λ/2, 3λ/2, 5λ/2 ...
Correct Answer
D Δρ = 2λ, 4λ, 6λ...
Correct Answer

Option C is the correct answer.

Detailed Explanation

On page 3, under 'The condition required for the formation of dark fringes at D...', it lists the path differences as 'λ/2, 3λ/2, 5λ/2...'. This corresponds to half-integer multiples of the wavelength.

Hint

Think about what happens when two waves are exactly out of phase.

Question Info