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BITSAT2022PhysicsWave OpticsActual

In a young's double slit arrangement frings are produced using light of wavelength 4000 Å . One slit is covered by a thin plate of glass of refractive index 1.4 and the other with another glass plate of same thickness but of refractive index 1.7. By doing so the central bright shifts to original sixth fringe from centre. Thickness of glass plate is

Options

  1. A2 m
  2. B8 m
  3. C11 m
  4. D16 m

Correct answer

B. 8 m

Step-by-step solution

As, shift x= ( -1) t Shift due to one plate x₁= ( ₁-1 ) t Shift due to another path x₂= ( ₂-1 ) t Net shift x= x₂- x₁= ( ₂- ₁ ) t Also, it is given that x=6 aligned & Hence, 6 = ( ₁- ₂ ) t & t= 6 ( ₁- ₂ ) = 6 4000 (1.7-1.4) -80000 Å & t=8 10⁻⁶=8 m aligned

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