Optics 6 Question 33

35. While conducting the Young’s double slit experiment, a student replaced the two slits with a large opaque plate in the xy plane containing two small holes that act as two coherent point sources (S1,S2) emitting light of wavelength 600mm. The student mistakenly placed the screen parallel to the xz plane (for z>0 ) at a distance D=3m from the mid-point of S1S2, as shown schematically in the figure. The distance between the source d=0.6003mm. The origin O is at the intersection of the screen and the line joining S1S2. (2016 Adv.)

Which of the following is (are) true of the intensity pattern on the screen?

(a) Semi circular bright and dark bands centered at point O

(b) The region very close to the point O will be dark

(c) Straight bright and dark bands parallel to the X-axis

(d) Hyperbolic bright and dark bands with foci symmetrically placed about O in the x-direction

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Solution:

Path difference at point O=d=0.6003mm

=600300nm

This path difference is equal to 1000λ+λ2.

Minima is formed at point O.

Line S1S2 and screen are to each other so fringe pattern is circular (semi-circular because only half of screen is available)



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