First slide

Diffraction of light-Wave Optics

Question

Light of wavelength 6328 $\overset{0}{A}$ is incident normally on a slit of width 0.2 mm. Calculate the angular width of central maximum on a screen distance 9 m.

Moderate

A

0.56 rad
B

0.46 rad
C

0.36 rad
D

0.26 rad

Solution

$G i v e n λ = 6.328 \times 10^{- 7} m, a = 0.2 \times 10^{- 3} m A n g u l a r F r i n g e W i d t h, w_{0} = \frac{2 λ}{a} = \frac{2 \times 6.328 \times 10^{- 7}}{2 \times 10^{- 4}} r a d i a n \Rightarrow w_{0} = \frac{6.328 \times 10^{- 3} \times 180}{3.14} = 0.36 r a d i a n$

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