Physics-
General
Easy

Question

In the figure shown, a parallel beam of light is incident on the plane of the slits of Young's double slit experiment. Light incident on the slit, S subscript 1 end subscript passes through a medium of variable refractive index mu equals 1 plus a x (where 'X' is the distance from the plane of slits as shown), up to a distance 'lambda' before falling on S subscript 1 end subscript . Rest of the space is filled with air. If at 'O' a minima is formed, then the minimum value of the positive constant a (in terms of l and wavelength 'lambda' in air) is:

  1. fraction numerator lambda over denominator l end fraction    
  2. fraction numerator lambda over denominator l to the power of 2 end exponent end fraction    
  3. fraction numerator l to the power of 2 end exponent over denominator lambda s end fraction    
  4. None of these    

The correct answer is: fraction numerator lambda over denominator l to the power of 2 end exponent end fraction

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