Single-slit diffraction: A single slit forms a diffraction pattern, with the first minimum at an angle of 40.0° from central maximum, using monochromatic light of 490-nm wavelength. What is the width of the slit?
A) 762 nm
B) 731 nm
C) 700 nm
D) 668 nm
E) 637 nm

Question

Quizplus · Accepted Answer

The correct answer is A because the width of the slit can be calculated using the formula w = λD/d, where λ is the wavelength of light, D is the distance between the slit and the screen, and d is the distance between the first minimum and the central maximum. In this case, λ = 490 nm, D = 1 m, and d = 40.0°, so w = (490 nm)(1 m)/(tan 40.0°) = 762 nm.

Single-Slit Diffraction: a Single Slit Forms a Diffraction Pattern, with the First