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AP EAMCET2009PhysicsWave Optics

In the Young's double slit experiment, the intensities at two points P₁ and P₂ on the screen are respectively I₁ and I₂ . If P₁ is located at the centre of a bright fringe and P₂ is located at a distance equal to a quarter of fringe width from P₁ , then I₁ I₂ is

Options

  1. A2
  2. B1 2
  3. C4
  4. D16

Correct answer

D. 16

Step-by-step solution

Fringe width = D d Let the amplitude of that place where constructive inference takes place is a . The position of fringe at p₂ is x= n D d array rlrl Given, & ^ & = ( 4 ) & & D 4 d & = n D d array aligned & or n= 1 4 & I₁ I₂ = a^2 ( a 4 )^2 & or I₁: I₂=16: 1 & aligned

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