Post

Created by @nathanedwards
 at December 3rd 2023, 8:12:01 pm.

Question: A double-slit experiment is set up with a laser that emits light of wavelength 600 nm. The distance between the two slits is 0.25 mm, and the distance from the slits to the screen is 1.5 m. If the interference pattern on the screen shows a bright fringe at an angle of 20 degrees from the central maximum, calculate the distance between adjacent bright fringes on the screen.

Given: Wavelength of light, λ = 600 nm = 600 x 10^-9 m Distance between slits, d = 0.25 mm = 0.25 x 10^-3 m Distance to the screen, L = 1.5 m Angle to the first bright fringe, θ = 20 degrees

Answer: The distance between adjacent bright fringes on the screen is given by the formula:

y = λL / d

Where: y = distance between adjacent bright fringes λ = wavelength of light L = distance from the slits to the screen d = distance between the slits

First, convert the angle θ from degrees to radians: θ = 20 degrees = 20 x (π / 180) = 20π / 180 = π / 9 radians

Now, plug in the given values into the formula: y = (600 x 10^-9 m)(1.5 m) / (0.25 x 10^-3 m) = (600 x 1.5) / 0.25 x 10^-3 = 0.9 / 0.25 x 10^-3 = 0.9 / 0.00025 = 3600 m

Therefore, the distance between adjacent bright fringes on the screen is 3600 m.