Q.
A parallel beam of monochromatic light of wavelength $5000\ \mathring{\mathrm{A}}$ is incident normally on a single narrow slit of width $0.001mm$. The light is focused by a convex lens on a screen placed on the focal plane. The first minimum will be formed for the angle of diffraction equal to
A) $0{^\circ}$
B) $15{^\circ}$
C) $30{^\circ}$
D) $60{^\circ}$
Explanation
(c) For the first minima $d\sin\theta = \lambda$
$\Rightarrow \sin\theta = \frac{\lambda}{d} \Rightarrow \theta = \sin^{- 1}{\left( \frac{5000 \times 10^{- 10}}{0.001 \times 10^{- 3}} \right) = 30{^\circ}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.