Question

In a Young's double slit experiment carried out with light of wavelength λ = 5000 Å, the distance between the slits is 0.2 mm and the screen is at 200 cm from the slits. The central maximum is at x = 0. The third maximum (taking the central maximum as zeroth maximum) will be at x equal to ______.

Options

• 1.67 cm

• 1.5 cm

• 0.5 cm

• 5.0 cm

Answer 1

In a Young's double slit experiment carried out with light of wavelength λ = 5000 Å, the distance between the slits is 0.2 mm and the screen is at 200 cm from the slits. The central maximum is at x = 0. The third maximum (taking the central maximum as zeroth maximum) will be at x equal to 1.5 cm.

Explanation:

Distance of third maxima from central maxima is x

= `(3lambda"D")/"d"`

= `(3xx5000xx10^-10xx(200xx10^-2))/(0.2xx10^-3)`

= 1.5 cm