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Question

In Young's double slit experiment the separation d between the slits is 2 mm. The wavelength λ 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°. To increase the fringe angular width to 0.21° (with same λ and D) the separation between the slits needs to be changed to
  1. 1.8 mm
  2. 1.9 mm
  3. 2.1 mm
  4. 1.7 mm


Solution

The correct option is B 1.9 mm
θ=λd , θ1θ2 =d2d10.200.21=d22d2 =0.200.21×2=1.9 mm

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