A grating with 396 lines/mm is illuminated with light of wavelength 343 nm.What is the angular separation between the two lines formed in order m = 2?
A)31.5°
B)15.8°
C)32.9°

Question

Quizplus · Accepted Answer

The angular separation between two lines formed in order m is given by:θ = sin^-1(mλ/d)where m is the order of the line, λ is the wavelength of light, and d is the grating spacing.In this case, m = 2, λ = 343 nm, and d = 1/396 mm = 2.52 μm.Plugging these values into the equation, we get:θ = sin^-1(2 * 343 nm / 2.52 μm) = 31.5°Therefore, the correct answer is A.

A Grating with 396 Lines/mm Is Illuminated with Light of Wavelength