A diffraction grating has 5000 lines per cm. The angle between the central maximum and the fourth order maximum is 47.2°. What is the wavelength of the light?
A)138 nm
B)183 nm
C)367 nm
D)452 nm
E)637 nm

Question

Quizplus · Accepted Answer

The diffraction grating formula is d*sin(θ) = m*λ, where d is the distance between lines (1/5000 cm), θ is the angle (47.2°), m is the order (4), and λ is the wavelength. Solving for λ gives approximately 367 nm.

A Diffraction Grating Has 5000 Lines Per Cm