Q. A plane wave of wavelength 6250$\ \mathring{\mathrm{A}}$ is incident normally on a slit of width $2 \times 10^{- 2}$ cm. The width of the principal maximum on a screen distant 50 cm will be

A) $312.5 \times 10^{- 3}$ cm
B) $312.5 \times 10^{- 4}$ cm
C) $312$ cm
D) $312.5 \times 10^{- 5}\ $cm
Explanation

(a) Here, $\lambda = 6250\ \mathring{\mathrm{A}} = 6250 \times 10^{- 10}m$
$a = 2 \times 10^{- 2}cm = 2 \times 10^{- 4}m$
$D = 50\ cm = 0.5\ m$
Width of central maximum=$\frac{2\lambda D}{a}$
$= \frac{2 \times 6250 \times 10^{- 10} \times 0.5}{2 \times 10^{- 4}}$
$312.5 \times 10^{- 3}\ cm$

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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