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NEET · Physics · STD 12 - 10. Wave optics

In Young's double slit experiment the separation \(d\) between the slits is \(2\,\, mm,\) the wavelength \(\lambda\) of the light used is \(5896 Å \)  and distance \(D\) between the screen and slits is \(100\,\, cm.\) It is found that the angular width of the fringes is \(0.20^o \) . To increase the fringe angular width to \(0.21 ^o \) (with same \(\lambda\) and \(D\)) the separation between the slits needs to be changed to ......\(mm\)

  1. A \(1.8 \)
  2. B \(1.9\)
  3. C \(1.7\)
  4. D \(2.1\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1.9\)

Step-by-step Solution

Detailed explanation

Angular width \(=\frac{\lambda}{d}\) \({0.20^\circ } = \frac{\lambda }{{2\,{\text{mm}}}}\)  .... \((i)\) and  \({0.21^\circ } = \frac{\lambda }{d}\)   ..... \((ii)\)
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