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JEE Main 2017 (9 Apr, Shift 1) · Diffraction at a Single Slit

Diffraction at a Single Slit question from JEE Main 2017 (9 Apr, Shift 1)

Q74JEE Main 2017 · 9 APR · SHIFT 1Easy

Diffraction at a Single Slit

A single slit of width 0.1 mm is illuminated by a parallel beam of light of wavelength 6000 $\text{\AA}$ and diffraction bands are observed on a screen 0.5 m from the slit. The distance of the third dark band from the central bright band is:

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Answer: (b)

$n$ th dark band: $y = \frac{n\lambda D}{a}$ .
$y = \frac{3\times 6\times10^{-7}\times 0.5}{1\times10^{-4}} = 9\times10^{-3}\ \text{m}$ .
So the answer is (b) 9 mm.

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