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AP EAMCET2014PhysicsWave Optics

In a double slit interference experiment, the fringe width obtained with a light of wavelength 5900 Ã… was 1.2 ~mm for parallel narrow slits placed 2 ~mm apart. In this arrangement, if the slit separation is increased by one-and-half times the previous value, then the fringe width is

Options

  1. A0.9 ~mm
  2. B0.8 ~mm
  3. C1.8 ~mm
  4. D1.6 ~mm

Correct answer

B. 0.8 ~mm

Step-by-step solution

By Young's double slit interference experiment = D d The given aligned & ₁=1.2 ~mm & d₂ d₁ =1 1 2 =1.5 aligned So, 1 d aligned & ₁ ₂ = 1 / d₁ 1 / d₂ & ₁ ₂ = d₂ d₁ =1.5 1.2 ₂ =1.5 & ₂= 1.2 1.5 = 4 5 =0.8 ~mm aligned

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