Orange light of wavelength $6000 imes 10^{-10} \mathrm{~m}$ illuminates a single slit of width $0.

Question

Orange light of wavelength $6000 	imes 10^{-10} \mathrm{~m}$ illuminates a single slit of width $0.6 	imes 10^{-4} \mathrm{~m}$. The maximum possible number of diffraction minima produced on both sides of the central maximum is _______ .\

Professor PC Thomas Classes · Answer

(200): Here, $\lambda=6000 	imes 10^{-10} \mathrm{~m}$, $d=0.6 	imes 10^{-4} \mathrm{~m}$\ For minima, $d \sin 	heta=n \lambda$\ $\sin 	heta=\frac{n \lambda}{d} \leq 1, n \leq \frac{d}{\lambda}$,\ $n \leq \frac{0.6 	imes 10^{-4}}{6000 	imes 10^{-10}}<100$\ So, maximum possible number of minima on both sides are 200.