In Fraunhofer diffraction pattern, slit width is $0.2 \mathrm{~mm}$ and screen is at $2 \mathrm{~m}$ away…

In Fraunhofer diffraction pattern, slit width is $0.2 \mathrm{~mm}$ and screen is at $2 \mathrm{~m}$ away from the lens. If wavelength of light used is $5000 Å$ then the distance between the first minimum on either side of the central maximum is $(\theta$ is small and measured in radian)
  1. $2 \times 10^{-2} \mathrm{~m}$
  2. $10^{-1} \mathrm{~m}$
  3. $10^{-2} \mathrm{~m}$
  4. $10^{-3} \mathrm{~m}$

Solution

Distance between the first minima on either side of the central maximum $=\frac{2 \lambda \mathrm{D}}{\mathrm{a}}=\frac{2 \times 5 \times 10^{-7} \times 2}{0.2 \times 10^{-3}}=10^{-2} \mathrm{~m}$

Asked in: MHT CET 2021 (20 Sep Shift 2)

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