Light from a laser strikes a diffraction grating that has 5 314 grooves per centimeter. the central and first-order principal maxima are separated by 0.488 m on a wall 1.78 m from the grating. determine the wavelength of the laser light. (in this problem, assume that the light is incident normally on the gratings.)

wavelength = 497.03 × m

Explanation:

given data

diffraction grating = 5 314

separated = 0.488 m

distance = 1.78 m

to find out

wavelength of the laser light

solution

we first find here angle of the first maximum with the center that is

a =

a = 15.33°

and

grating distance will be =

grating distance g = 1.88 × m

so now equation for the wavelength will be

wavelength = g ×

here n = 1

wavelength = g ×

wavelength = 1.88 × ×

wavelength = 497.03 × m