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Two coherent monochromatic point sources S 1 and S 2 of wavelength λ = 600 n m are placed symmetrically on either side of the center of the circle as shown. The sources are separated by a distance d = 1.8 m m . This arrangement produces interference fringes visible as alternate bright and dark spots on the circumference of the circle. The angular separation between two consecutive bright spots is Δ θ . Which of the f

Options

  1. AA dark spot will be formed at the point P 2
  2. BThe angular separation between two consecutive bright spots decreases as we move from P 1 to P 2 along the fir
  3. CAt P 2 the order of the fringe will be maximum
  4. DThe total number of fringes produced between P 1 and P 2 in the first quadrant is close to 3000

Correct answer

C. At P 2 the order of the fringe will be maximum

Step-by-step solution

At point P 2 ; Δ x = d = 1.8   m m = 3000   λ Hence a (bright fringe) will be formed at P 2 Now Δ x = d  cos ⁡ θ = n λ cos ⁡ θ = n λ d , θ is with the x - a x i s . - sin θ   Δ θ = Δ n λ d Δ θ = - Δ n   λ d  sin ⁡ θ Δ θ increases as θ decreases At P 2 , the order of fringe will be maximum. For total no. of bright fringes d = n λ     ⇒   &#

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