Question Detail

PHY 104 Diffraction and Interference of light waves Objective Question

Question

For destructive interference to occur in Young's double-slit experiment, the path difference (Δρ) between the waves from the two slits must be equal to:
Options
A nλ, where n = 0, 1, 2, 3, ...
B nλ/2, where n = 1, 3, 5, ...
Correct Answer
C Any integer multiple of λ.
D 2nλ, where n = 0, 1, 2, 3, ...
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 3 states: 'The condition required for the formation of dark fringes at D will be satisfied when the path difference is λ/2, 3λ/2, 5λ/2, ... ... ... ...' and further 'dsinθ = nλ/2; n = 1, 3, 5 ... ... ... ... ..'

Hint

Think about the phase difference required for waves to cancel out.

Question Info