1. Tardigrade
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  4. A beam of light (.λ =600 nm.) from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between the first dark fringes on either side of the central bright fringe is

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Q. A beam of light $\left(\right.\lambda =600 \, nm\left.\right)$ from a distant source falls on a single slit $1 \, mm$ wide and the resulting diffraction pattern is observed on a screen $2 \, m$ away. The distance between the first dark fringes on either side of the central bright fringe is

NTA AbhyasNTA Abhyas 2022

Solution:

Distance between $1^{s t}$ order dark fringes = width of principle maximum
$X=\frac{2 \lambda D}{d}$
$=\frac{2 \times 600 \times 10^{- 9} \times 2}{10^{- 3}}$
$=2400\times 10^{- 6}$
$=2.4\times 10^{- 3}m$
$=2.4mm$