Light of wavelength 656 nm and 410 nm emitted from a hot gas of hydrogen atoms strikes a grating with 5300 lines per centimeter. Determine the angular deflection of wavelength 656 nm in the 1st order. Express your answer in degrees.

The angular deflection of wavelength 656 nm in the 1st order is 20.31⁰

Explanation:

Angular deflection of wavelength 656 nm in the first order

The angle of deflection could be gotten using the relation:

Where λ = wavelength of the light emitted from the hot gas

           d = distance between two slits

           n = order of deflection

Since we are looking for the angular deflection in the first order, n= 1

d = 1/5300

d = 1.89 * 10⁻⁴ cm

d = 1.89 * 10⁻⁴ * 10⁻² m = 1.89 * 10⁻⁶m

d = 1.89 μm

6 cos 34, 6 sin 34 trig