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 =

Question

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 following options is/are correct?

TestHub · Accepted Answer

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 ⇒ n = 3000 ∴ total no. of fringes = 3000

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Options:(select one or more)

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