What slit separation is required for a grating to produce a first-order maximum at an angle of 40.0° for a wavelength of 589 nm?
A) 109 nm
B) 690 nm
C) 378 nm
D) 458 nm
E) 916 nm

Question

Quizplus · Accepted Answer

The grating equation is d*sin(θ) = m*λ, where d is the slit separation, θ is the angle, m is the order number, and λ is the wavelength. For the first-order maximum (m=1) at 40.0° with λ = 589 nm, solving for d gives d = λ/sin(θ) = 589 nm / sin(40°) ≈ 916 nm.

What Slit Separation Is Required for a Grating to Produce