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  • Orange light of wavelength m illuminates a single slit of width <img alt="0.64 \times 10^{-4}m" src="http://entrancecorner.c

Orange light of wavelength 6000 \times 10^{-10}m illuminates a single slit of width 0.64 \times 10^{-4}m. The maximum possible number of diffraction minima produced on both the sides of the central maximum is______
Option: 1 198
Option: 2 99
Option: 3 45
Option: 4 30

Answers (1)

best_answer

\begin{aligned} &\text { Condition for minimum, }\\ &d \sin \theta=n \lambda\\ &\therefore \sin \theta=\frac{\mathrm{n} \lambda}{\mathrm{d}}<1\\ &\mathrm{n}<\frac{\mathrm{d}}{\lambda}=\frac{6 \times 10^{-5}}{6 \times 10^{-7}}=100 \end{aligned}

\therefore \quad$ Total number of minima on one side $=$ 99 \\ Total number of minima $=198$ \\ Correct Answer is 198

Posted by

Deependra Verma

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