Question Detail
Question
In an experiment to obtain interference patterns on a screen, light of wavelength 600 nm was used to illuminate two slits separated by a distance of 0.034 mm. If the distance of the slits to the screen was 1.1 m, calculate the angle that the second dark fringe makes with the central axis.
Correct Answer
Option A is the correct answer.
Detailed Explanation
For dark fringes in double-slit interference: d sin θ = (m + 1/2)λ. For the second dark fringe, m=1. d = 0.034 mm = 3.4 × 10⁻⁵ m. λ = 600 nm = 6.0 × 10⁻⁷ m. sin θ = (1.5 × 6.0e-7) / 3.4e-5 = 9.0e-7 / 3.4e-5 = 0.02647. θ = sin⁻¹(0.02647) = 1.517° ≈ 2°.
Hint
Use d sin θ = (m + 1/2)λ for dark fringes.