Question

Light of wavelength 580 nm is incident on a slit of width 0.30 mm. An observing screen is placed 2.0 m past the slit. Find the distance on the screen of the first order dark fringe from the center of the pattern.

Answer 1

Y = 3.87 x 10⁻³ m = 3.87 mm

Step-by-step explanation:

This problem can be solved by using Young's double-slit experiment formula:

`Y = (\lambda L)/(d)`

where,

Y = fringe spacing = ?

L = slit to screen distance = 2 m

λ = wavelength of light = 580 nm = 5.8 x 10⁻⁷ m

d = slit width = 0.3 mm = 3 x 10⁻⁴ m

Therefore,

`Y = ((5.8\ x\ 10^(-7)\ m)(2\ m))/(3\ x\ 10^(-4)\ m)`

Y = 3.87 x 10⁻³ m = 3.87 mm