Question

In Young's double-slit experiment, the separation of the slits is 1.9 mm, and the fringe spacing is 0.31 mm at a distance of 1 m from the slits. Calculate the wavelength of light.

a) ( λ= 500 ) nm

b) ( λ= 600 ) nm

c) ( λ= 700 ) nm

d) ( λ= 800 ) nm

Answer 1

The wavelength of light in Young's double-slit experiment can be calculated using the formula λ = (d * y) / D, where d is the separation of the slits, y is the fringe spacing, and D is the distance from the slits to the screen. Given the values provided, the wavelength of light is 589 nm.

Step-by-step explanation:

The wavelength of light can be calculated using the formula: λ = (d * y) / D, where d is the separation of the slits, y is the fringe spacing, and D is the distance from the slits to the screen.

Given that the separation of the slits is 1.9 mm and the fringe spacing is 0.31 mm at a distance of 1 m from the slits, we can plug these values into the formula to calculate the wavelength of light:

λ = (1.9 mm * 0.31 mm) / 1 m = 0.589 mm

Converting mm to nm, we get λ = 589 nm.

Therefore, the correct answer is a) λ = 500 nm.