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

Question

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 $(S_{1}, S_{2})$ 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 $(S_{1}, S_{2})$ , 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 $(S_{1}, S_{2})$ . Which of the following is (are) true of the intensity pattern on the screen?

Question diagram: While conducting the Young's double slit experiment, a

Options:(select one or more)

Answer:

B, C

Solution:

Path difference at point O = d = .6003 mm = 600300 nm
$= \frac{2001}{2} (600 n m) = 1000 λ + \frac{λ}{2}$
$\Rightarrow$ minima form at point O
Line $S_{1} S_{2}$ and screen are $⊥$ to each other so fringe pattern is circular (semi-circular because only half of screen is available)

TestHub · Accepted Answer

Path difference at point O = d = .6003 mm = 600300 nm
$= \frac{2001}{2} (600 n m) = 1000 λ + \frac{λ}{2}$
$\Rightarrow$ minima form at point O
Line $S_{1} S_{2}$ and screen are $⊥$ to each other so fringe pattern is circular (semi-circular because only half of screen is available)

Physics - Wave Optics Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion