A beam of green light is made to pass through two slits that are 5.0 x 10−3 meters apart. On a screen 4.0 meters away from the slits, an interference pattern appears with bands of light separated by 4.2 x 10−4 meters. What is the wavelength of the light?

The wavelength of light is 525 nm

Explanation:

Given data

Distance between slits, d = 5 x m

Distance between slit and screen, D = 4.0 m

band separation, Δx = 4.2 x m

To find: the wavelength of light, λ = ?

From young's double slit experiment, we know that the formula to calculate wavelength is as follows:

λ = Δx

Substituting the known values, we get

wavelength of light, λ = (4.2 x x 5 x )/ 4.0

                                    = 5.25 x   m

                                    = 525 x   m

                                    = 525 nm

the area between the graph and the t axis