First slide

Diffraction of light-Wave Optics

Question

A narrow slit of width 1 mm is illuminated by monochromatic light of wavelength 600 nm. The distance between the first minima on either side of a screen at a distance of 2 m is

Moderate

A

1.2 cm
B

1.2 mm
C

2.4 cm
D

2.4 mm

Solution

$F o r f i r s t d a r k f r i n g e o n e i t h e r s i d e, d \sin θ = λ \Rightarrow \frac{d y}{D} = λ [\sin θ ≃ \tan θ] ∴ y = \frac{λ D}{d} T h e r e f o r e, d i s \tan c e b e t w e e n t w o d a r k f r i n g e s o n e i t h e r s i d e = 2 y = \frac{2 λ D}{d} S u b s t i t u t i n g t h e v a l u e s, w e h a v e d i s \tan c e = \frac{2 (600 \times 10^{- 6} m m) (2 \times 10^{3} m m)}{(1.0 m m)} = 2.4 m m$

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