A 17-mm-wide diffraction grating has rulings of 530 lines per millimeter.White light is incident normally on the grating.What is the longest wavelength that forms an intensity maximum in the fifth order?
A)377 nm
B)352 nm
C)402 nm
D)427 nm
E)452 nm

Question

Quizplus · Accepted Answer

The longest wavelength that forms an intensity maximum in the fifth order is given by:λ = d * sin(θ) / mwhere d is the grating spacing, θ is the angle of diffraction, and m is the order of the maximum.For normal incidence, θ = 0, so:λ = d / mSubstituting the given values, we get:λ = 17 mm * (10^-3 m/mm) / 5 = 3.4 * 10^-6 m = 3400 nmTherefore, the longest wavelength that forms an intensity maximum in the fifth order is 3400 nm, which is closest to choice A (377 nm).

A 17-Mm-Wide Diffraction Grating Has Rulings of 530 Lines Per