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.

the components of a vector are the parts of the vectors that are to each other.

b perpendicular