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Using Young's double slit experiment, a monochromatic light of wavelength 5000 Å produces fringes of fringe width 0 . 5 mm . If another monochromatic light of wavelength 6000 Å is used and the separation between the slits is doubled, then the new fringe width will be

Options

  1. A0 . 5   mm
  2. B1 . 0   mm
  3. C0 . 6   mm
  4. D0 . 3   mm

Correct answer

D. 0 . 3   mm

Step-by-step solution

We know that fringe width is given by, β = λ D d ⇒ β ' β = λ ' λ × d d ' = 6000 5000 × d 2 d ⇒ β ' = 6 5 × 2 × 0 . 5 = 0 . 3   mm

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