In a single slit experiment, a parallel beam of green light of wavelength 550 nm passes through a sl

Question

In a single slit experiment, a parallel beam of green light of wavelength 550 nm passes through a slit of width 0.20 mm . The transmitted light is collected on a screen 100 cm away. The distance of first order minima from the central maximum will be $x 	imes 10^{-5} \mathrm{~m}$. The value of $x$ is\ _______ .\

Professor PC Thomas Classes · Answer

(275) : Given, $\lambda=550 \mathrm{~nm}$\ $=550 	imes 10^{-9} \mathrm{~m}$,\ $d=0.20 \mathrm{~mm}=0.2 	imes 10^{-3} \mathrm{~m}$\ $D=100 \mathrm{~cm}=1 \mathrm{~m}$\ Distance of $n^{	ext {th }}$ minima from central maximum,\ $x=\frac{n \lambda D}{d}$\ $	herefore x=\frac{550 	imes 10^{-9} 	imes 1}{0.2 	imes 10^{-3}} \quad(\because n=1)$\ or $\quad x=275 	imes 10^{-5} \mathrm{~m}$\