Q. A narrow slit of width $2mm$ is illuminated by monochromatic light of wavelength $500nm$. The distance between the first minima on either side on a screen at a distance of $1m$ is

A) $5mm$
B) $0.5mm$
C) $1mm$
D) $10mm$
Explanation

(b) Here, $a = 2mm = 2 \times 10^{- 3}m$
$\lambda = 500nm = 500 \times 10^{- 9}m = 5 \times 10^{- 7}m$
$D = 1m$
The distance between the first minima on either side on a screen is
$= \frac{2\lambda D}{a} = \frac{2 \times 5 \times 10^{- 7} \times 1}{2 \times 10^{- 3}}$
$= 5 \times 10^{- 4}m = 0.5 \times 10^{- 3}m = 0.5mm$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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