A multiple slit diffraction grating has a slit separation of 2.00 x 10^-6 m.Find the wavelength of the monochromatic light that will have its second order bright fringe diffracted through an angle of 38.0 $\degree$.(1 nm = 10^-9 m) A)120 nm B)500 nm C)616 nm D)687 nm

Question

Quizplus · Accepted Answer

The formula for calculating the angle of diffraction for a multiple slit diffraction grating is:
dsinθ = mλ
where:
d = slit separation = 2.00 x 10^-6 m
θ = angle of diffraction = 38.0°
m = order of diffraction = 2
λ = wavelength of light (unknown)

Rearranging the formula, we get:
λ = dsinθ/m

Substituting the given values, we get:
λ = (2.00 x 10^-6 m)(sin38.0°)/(2)
λ = 6.16 x 10^-7 m or 616 nm

Converting the answer to nanometers, we get 616 nm which is option C.

A Multiple Slit Diffraction Grating Has a Slit Separation of 2.00