Light shines through a single slit whose width is 5.7 × 10-4 m. a diffraction pattern is formed on a flat screen located 4.0 m away. the distance between the middle of the central bright fringe and the first dark fringe is 4.2 mm. what is the wavelength of the light?

Explanation:

It is given that,

Slit width,

A diffraction pattern is formed on a flat screen located 4.0 m away, L = 4 m

The distance between the middle of the central bright fringe and the first dark fringe is 4.2 mm, y = 4.2 mm = 0.0042 m

Let is the wavelength of the light.

Using condition of diffraction as,

..............(1)

Also,

So, the wavelength of the light is 596 nm. Hence, this is the required solution.

d is the correct answer

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