What is the angular separation of two spectral lines of wavelengths 497 nm and 251 nm formed in the third order with a grating having 587 lines per millimeter?

Question

Quizplus · Accepted Answer

The angular separation can be calculated using the grating equation: d*sin(θ) = m*λ, where d is the distance between grating lines (1/587 mm), m is the order (3), and λ is the wavelength. Calculate θ for both wavelengths and find the difference.

What Is the Angular Separation of Two Spectral Lines of Wavelengths