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KCET2008PhysicsWave Optics

In a two slit experiment with monochromatic light fringes are obtained on a screen placed at some distance from the slits. If the screen is moved by 5 10⁻² ~m towards the slits, the change in fringe width is 3 10⁻⁵ ~m . If separation between the slits is 10⁻³ ~m , the wavelength of light used is

Options

  1. A6000 Å
  2. B5000 Å
  3. C3000 Å
  4. D4500 Å

Correct answer

A. 6000 Å

Step-by-step solution

aligned &= D d & & D & ₁ ₂ &= D ₁ D ₂ ₁- ₂ ₂ &= D ₁- D ₂ D ₂ D &= ₂ D ₂ = ₂ ~d ₂ ₂ &= 3 10⁻⁵ 5 10⁻² 10⁻³ &=6 10⁻⁷ ~m =6000 Å aligned

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