Light of wavelength 633nm passes through a single slit of width 1.50*10^-5 m. At what angle does the second interference minimum (m=2) occur? °

Answer: The second interference is minimum at angle 5 degree approximately

Explanation:

Given that the

Wavelength (λ) = 633nm

Width d = 1.5 * 10^-5m

n = 2

The wavelength (λ) of the light passing through a single slit is related to the angle Ø by

dsinØ = n (λ)

Substitutes all the parameters into the above formula

1.5*10^-5 * SinØ = 2 * 633 * 10^-9

Make SinØ the subject of formula

SinØ = 1.266*10^-6/1.5*10^-5

SinØ = 0.0844

Ø = Sin^-1 (0.0844)

Ø = 4.84 degree.

The second interference is minimum at angle 5 degree approximately