Laser light sent through a double slit produces an interference pattern on a screen 3.00 m from the slits.If the m = 2 maximum occurs at an angle of 10.7°,at what angle does the m = 8 maximum occur?

Question

Quizplus · Accepted Answer

The angle for the mth maximum is given by:sin θm = mλ/dwhere m is the order of the maximum, λ is the wavelength of the light, and d is the distance between the slits.For the m = 2 maximum, we have:sin 10.7° = 2λ/dFor the m = 8 maximum, we have:sin θ8 = 8λ/dDividing the second equation by the first equation, we get:sin θ8/sin 10.7° = 8/2 = 4Therefore, θ8 = 4 * 10.7° = 48.0°.

Laser Light Sent Through a Double Slit Produces an Interference