Question

In a lab, you perform a double slit experiment to measure the wavelength of a particular laser. When aimed at two slits spaced by 0.22 mm0.22mm an interference pattern is formed on a screen 0.5 m away. You measure that 10 bright lines of the interference pattern cover a total of 1.3 cm1.3cm width on the screen. What is the wavelength of the laser light?

Answer 1

The wavelength of the laser light is 572 nm.

Step-by-step explanation:

Given that,

Distance between slit d= 0.22 mm

Distance of screen D= 0.5 m

Bright lines = 10

Width y= 1.3 cm

We need to calculate the wavelength

Using formula of young

`y=(n\lambda D)/(d)`

`\lambda=(dy)/(nD)`

Put the value into the formula

`\lambda=(0.22*10^(-3)*1.3*10^(-2))/(10*0.5)`

`\lambda=5.72*10^(-7)\ m`

`\lambda=572*10^(-9)\ m`

Hence, The wavelength of the laser light is 572 nm.