Q. Light if wavelength $2 \times 10^{- 3}$ m falls on a slit of width $4 \times 10^{- 3}$ m. The angular dispersion of the central maximum will be

A) $30{^\circ}$
B) $60{^\circ}$
C) $90{^\circ}$
D) $180{^\circ}$
Explanation

(b) Angular dispersion of central maximum=angular dispersion of 1st minimum $( = 2\theta)$
From $\sin{\theta = \frac{1\lambda}{a} = \frac{2 \times 10^{- 3}}{4 \times 10^{- 3}} = \frac{1}{2}}$
$\theta = 30{^\circ}$
$\therefore 2\theta = 2 \times 30{^\circ} = 60{^\circ}$

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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