Laser light sent through a double slit produces an interference patter on a screen 3.00 m from the slits.If the second order maximum occurs at an angle of 12.0 $\degree$,at what angle does the eighth order maximum occur?
A)No eighth order maximum occurs.
B)48.0 $\degree$
C)56.3 $\degree$
D)Not enough information is given.

Question

Quizplus · Accepted Answer

The angle for the nth order maximum for a double slit interference pattern is given by sinθ = nλ/d, where λ is the wavelength of the light and d is the distance between the slits. Since the second order maximum occurs at an angle of 12.0°, we can use this equation to find the wavelength: sin12.0° = 2λ/d. Rearranging, λ = d sin12.0°/2. For the eighth order maximum, n = 8, so sinθ = 8λ/d. Substituting in the expression for λ and solving for sinθ, we get sinθ = 8(d sin12.0°/2)/d = 4sin12.0° = 0.83. Therefore, the angle for the eighth order maximum is sin⁻¹(0.83) ≈ 56.3°, which corresponds to choice C.

Laser Light Sent Through a Double Slit Produces an Interference °\degree°

Laser Light Sent Through a Double Slit Produces an Interference $\degree$