Question

Light from an argon laser strikes a diffraction grating that has 7,735 grooves per centimeter. The central and first-order principal maxima are separated by 0.488 m on a wall 1.73 m from the grating. Determine the wavelength of the laser light.

Answer 1

wavelength of the laser light is 351nm

Step-by-step explanation:

The split seperation is

d = 0.01 / 7735

= 1293nm

The angle of the first order maxima

θ = tan⁻¹ (0.488/1.73)

= 15.75°

we have,

`sin \theta = (m \lambda)/(d) \\\lambda = (d sin \theta)/(m) \\\lambda = (1293 * sin15.75)/(1) \\= 350.97nm`

≅ 351nm

wavelength of the laser light is 351nm