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COMEDK · Physics · 26. Wave Optics

In a Young's double slit experiment, the separation between the two slits is \(0.9 \mathrm{~mm}\) and the fringes are observed \(1 \mathrm{~m}\) away. If it produces the second dark fringe at a distance of \(1 \mathrm{~mm}\) from the central fringe, the wavelength of the monochromatic source of light used is

  1. A \(500 \mathrm{~nm}\)
  2. B \(600 \mathrm{~nm}\)
  3. C \(450 \mathrm{~nm}\)
  4. D \(400 \mathrm{~nm}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(600 \mathrm{~nm}\)

Step-by-step Solution

Detailed explanation

Given, separation between two slits, \[ d=0.9 \mathrm{~mm}=0.9 \times 10^{-3} \mathrm{~m} \] Distance between slits and screen, \(D=1 \mathrm{~m}\) The distance between two consecutive dark or bright fringes is given as \(\beta\) (fringe width) and that between central tringe…