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JEE Advanced 2016 Paper 2
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© examsnet.com
Question : 7
Total: 54
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
=
3
m
from the mid- point of
S
1
,
S
2
as shown schematically in the figure.The distance between the sources d
=
0.6003
.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
Hyperbolic bright and dark with foci symmetrically placed about O in the x-direction
Semi circular bright and dark bands centered at point O
The region very close to the point O will be dark
Straight bright and dark bands parallel to the x-axis
Validate
Solution:
Path difference at point O = d = .6003 mm = 600300 nm
2001
2
(
600
n
m
)
=
1000
λ
+
λ
2
⇒ minima from 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)
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