Question

You find an unmarked blue laser on your way to physics class. When you get to class you realize you can determine the wavelength of the laser by doing a double slit experiment. Shining the laser through a double slit with a slit separation of 0.329 mm on the wall 2.20 m away the first bright fringe is 2.90 mm from the center of the pattern. What is the wavelength

Answer 1

Step-by-step explanation:

We have,

Slit separation, d = 0.329 mm

Distance between slit and screen, D = 2.20 m

The first bright fringe is formed at a distance off 2.9 mm from the center of the pattern. We need to find the wavelength.

For double slit experiment, the fringe width is given by :

`\beta=(D\lambda)/(d)`

`\lambda` is wavelength

`\lambda=(\beta d)/(D)\\\\\lambda=(2.9* 10^(-3)* 0.329* 10^(-3))/(2.2)\\\\\lambda=4.33* 10^(-7)\ m\\\\\lambda=433\ nm`

So, wavelength is 433 nm.