A diffraction grating with 10 000 lines/cm will exhibit the first order maximum for light of wavelength 510 nm at what angle? (1 nm = 10^-9 m) A)0.51 $\degree$ B)0.62 $\degree$ C)15.3 $\degree$ D)31 $\degree$

Question

Quizplus · Accepted Answer

The angle for the first order maximum is found using the formula d*sin(θ) = m*λ, where d is the distance between grating lines (1/10,000 cm = 1x10^-6 m), m is the order (1), and λ is the wavelength (510 nm = 510x10^-9 m). Solving for θ gives approximately 31°.

A Diffraction Grating with 10 000 Lines/cm Will Exhibit the First