Wave Optics Ques 32

32. A parallel beam of monochromatic light of wavelength $5000 $ $\AA$ is incident normally on a single narrow slit of width $0.001 $ $mm$. The light is focussed by a convex lens on a screen placed in focal plane. The first minimum will be formed for the angle of diffraction equal to

[1993]

(a) $0^{\circ}$

(b) $15^{\circ}$

(c) $30^{\circ}$

(d) $50^{\circ}$

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Answer:

Correct Answer: 32.(c)

Solution:

  1. (c) For first minimum, a $\sin \theta=n \lambda=1 \lambda$

$\sin \theta=\frac{\lambda}{a}=\frac{5000 \times 10^{-10}}{0.001 \times 10^{-3}}=0.5$

$\theta=30^{\circ}$