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KCET2021PhysicsWave Optics

In the Young's double slit experiment a monochromatic source of wavelength is used. The intensity of light passing through each slit is I₀ . The intensity of light reaching the screen S_ C at a point P , a distance x from O is given by (Take, d

Options

  1. AI₀ ² ( D d x )
  2. B4 I₀ ² ( d D x )
  3. CI₀ ² ( d 2 D x )
  4. D4 I₀ ( d 2 D x )

Correct answer

B. 4 I₀ ² ( d D x )

Step-by-step solution

Path difference, x= x d D So, corresponding phase difference, = 2 ( x)= 2 ( x d D ) The resultant intensity at P is aligned I_ P &=4 I₀ ² ( 2 ) &=4 I₀ ² ( 2 x d D 1 2 )=4 I₀ ² ( d x D ) aligned

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