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NEET · Physics · STD 12 - 10. Wave optics

A parallel beam of light of wavelength \(\lambda\) is incident normally on a single slit of width \(d\). Diffraction bands are obtained on a screen placed at a distance \(D\) from the slit. The second dark band from the central bright band will be at a distance given by

  1. A \(\lambda dD\)
  2. B \(\frac{{\lambda D}}{{2d}}\)
  3. C \(\frac{{2\lambda d}}{D}\)
  4. D \(\;\frac{{2\lambda D}}{d}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\;\frac{{2\lambda D}}{d}\)

Step-by-step Solution

Detailed explanation

The distance of \(n^{th}\) dark band from the central bright band \(=\frac{n \lambda D}{d}\) For \(n=2\) distance \(=\frac{2 \lambda D}{d}\)