If the 5th-order fringe in Young's double-slit experiment occurs at an angle of 38.7°,what is the relationship between the wavelength λ and the distance between slits,d?
A)d = 3.12λ
B)d = 40.00λ
C)d = 8.00λ
D)d = 10.30λ
E)d = 0.12λ

Question

Quizplus · Accepted Answer

The fringe order (m) is 5, and the angle (θ) is 38.7°. Using the formula for fringe position in Young's double-slit experiment, d*sin(θ) = m*λ, we solve for d/λ: d/λ = m/sin(θ) = 5/sin(38.7°) ≈ 8.00.

If the 5th-Order Fringe in Young's Double-Slit Experiment Occurs at an Angle