At what angle will the sixth order maximum occur for a wavelength of 447 nm using a diffraction grating with 7,250 lines per cm?

Question

Quizplus · Accepted Answer

The diffraction grating equation is d*sin(θ) = m*λ, where d is the distance between lines (1/7250 cm), m is the order number, and λ is the wavelength. For the sixth order (m=6), if sin(θ) exceeds 1, no maximum occurs. Calculating for m=6, sin(θ) > 1, so no sixth order maximum occurs.

At What Angle Will the Sixth Order Maximum Occur for a Wavelength