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JEE Advanced 2016Paper 2
Exam
JEE Advanced
Year
2016
Paper
Paper 2
Subject
Physics
Chapter
Wave Optics

JEE Advanced 2016 · Paper 2 · Physics · Wave Optics

While conducting the Young's double slit experiment, a student...

While conducting the Young's double slit experiment, a student replaced the two slits with a large opaque plate in the x-y plane containing two small holes that act as two coherent point sources (S1,S2)\left({S}_{1}, {S}_{2}\right) emitting light of wavelength 600 nm. The student mistakenly placed the screen parallel to the x-z plane (for z > 0) at a distance D = 3m from the mid-point of (S1,S2)\left({S}_{1}, {S}_{2}\right) , as shown schematically in the figure. The distance between the sources d = 0.6003 mm. The origin O is at the intersection of the screen and the line joining (S1,S2)\left({S}_{1}, {S}_{2}\right) . Which of the following is (are) true of the intensity pattern on the screen?
While conducting the Young's double slit experiment, a student replaced the two slits with a large opaque plate in the

Options

  1. AHyperbolic bright and dark bands with foci symmetrically placed about O in the x-direction
  2. BSemi circular bright and dark bands centered at point O
  3. CThe region very close to the point O will be dark
  4. DStraight bright and dark bands parallel to the x-axis

Correct answer

B. Semi circular bright and dark bands centered at point O

Step-by-step solution

While conducting the Young's double slit experiment, a student replaced the two slits with a large opaque plate in the
Path difference at point O = d = .6003 mm = 600300 nm
=20012(600nm)=1000λ+λ2= \dfrac{2001}{2}\left(600nm\right) = 1000\lambda + \dfrac{\lambda}{2}
⇒⇒ minima form at point O
Line S1S2{S}_{1}{S}_{2} and screen are ⊥⊥ to each other so fringe pattern is circular (semi-circular because only half of screen is available)
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