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 0.325 mm on the wall 2.20 m away the first bright fringe is 2.96 mm from the center of the pattern. What is the wavelength?

Answer 1

wavelength
`\lambda` = 437.27 nm

Step-by-step explanation:

given data

first bright fringe = 2.96 mm

slit separation = 0.325 mm

distance D = 2.20 m

solution

we know that this is double slit experiment

so we apply here Fringe width formula that is

β =
`(D\lambda)/(d)` ....................1

`\lambda` is Wavelength of light and D is Distance between screen and slit and d is slit width

so put here value and we get

`\lambda` =
`(2.96*0.325*10^(-6))/(2.20)`

`\lambda` = 437.27 ×
`10^(-9)` m

wavelength
`\lambda` = 437.27 nm