Question

Monochromatic light of 520 nm is passed through two narrow slits imprinted onto a slide. The distance between the two slits is 0.75 mm and the screen is located 110 cm away from the slide. Determine the separation distance between bright lines in the interference pattern formed on the screen.

Answer 1

The separation distance between the first-order bright lines in the interference pattern formed on a screen in a double-slit experiment with given parameters is approximately 0.76 mm.

Step-by-step explanation:

To determine the separation distance between bright lines in the interference pattern formed on the screen in a double-slit experiment, we can use the following formula:

dθ = mλFor the first-order bright lines (m=1), the angle θ can be found using the small-angle approximation:

θ ≈ δ / L

Where L is the distance from the slits to the screen. Substituting into the first equation, we get:

δ = δ * L / d

Given the values: λ = 520 nm (or 520 x 10-9 meters), d = 0.75 mm (or 0.75 x 10-3 meters), and L = 110 cm (or 1.10 meters), we can calculate δ:

δ = (520 x 10-9 m * 1.10 m) / (0.75 x 10-3 m)

δ = 7.6 x 10-4 meters or 0.76 mm

Therefore, the separation distance between the first-order bright lines on the screen is approximately 0.76 mm.