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

Answer:

The wavelength of the laser light is 572 nm.

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

$y=\dfrac{n\lambda D}{d}$

$\lambda=\dfrac{dy}{nD}$

Put the value into the formula

$\lambda=\dfrac{0.22\times10^{-3}\times1.3\times10^{-2}}{10\times0.5}$

$\lambda=5.72\times10^{-7}\ m$

$\lambda=572\times10^{-9}\ m$

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