First slide

Coherent sources and their importance in interference

Question

A double slit experiment is immersed in a liquid of refractive index 1.33. It has slit separation of 1mm and distance between the plane of slits and screen 1.33m. The slits are illuminated by a parallel beam of light whose wavelength in air is 6300 $\overset{0}{A}$ .Find fringe width

Easy

A

$6.3 \times 10^{- 4} m$
B

$8.3 \times 10^{- 4} m$
C

$6.3 \times 10^{- 2} m$
D

$6.3 \times 10^{- 5} m$

Solution

The experimental setup is in a liquid, therefore the wavelength of light will change.
$λ_{l i q u i d} = \frac{λ_{a i r}}{μ} = \frac{6300}{1.33}$
$= \frac{6300 \times 10^{- 16}}{1.33} m$
Fringe width
$β = \frac{λ_{l i q u i d} D}{d} = \frac{λ_{a i r} D}{μ d} = \frac{6300 \times 10^{- 10}}{1.33} \times \frac{1.33}{10^{- 3}}$ $= 6.3 \times 10^{- 4} m$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App