Question

Find the distance between adjacent dark spots from a double slit diffraction pattern if the wavelength of light is 500 nm, the distance between the slits is 1 mm, and the distance from the slit to the screen is 2 m.

Answer 1

0.001 m or 1 mm

Step-by-step explanation:

Parameters given:

Wavelength of light, λ = 500 nm =
`500 * 10^(-9) m`

Distance between slits, d = 1 mm = 0.001 m

Distance between slit and screen, x = 2 m

The distance between two adjacent dark spots on a screen due to diffraction of light is given as:

y = xλ/d

Therefore:

`y = (2 * 500 * 10^(-9))/(0.001)`

y = 0.001 m = 1 mm

Adjacent dark spots are separated by a distance of 1mm.