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JEE Advanced 2023 Paper 1 Solutions
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© examsnet.com
Question : 2
Total: 51
A plane polarized blue light ray is incident on a prism such that there is no reflection from the surface of the prism. The angle of deviation of the emergent ray is
δ
=
60
∘
(see Figure-1). The angle of minimum deviation for red light from the same prism is
δ
min
=
30
∘
(see Figure-2). The refractive index of the prism material for blue light is
√
3
. Which of the following statement(s) is(are) correct?
The blue light is polarized in the plane of incidence.
The angle of the prism is
45
circ
.
The refractive index of the material of the prism for red light is
sqrt
2
.
The angle of refraction for blue light in air at the exit plane of the prism is
60
circ
.
Validate
Solution:
For no reflection
tan
i
=
√
3
i
=
60
s
i
n
i
s
i
n
r
1
=
√
3
,
r
1
=
30
∘
s
i
n
i
s
i
n
r
1
=
√
3
,
r
1
=
30
∘
δ
=
i
+
e
−
r
1
−
r
2
=
60
∘
e
=
60
∘
r
2
=
30
∘
A
=
60
∘
For red light,
µ
=
s
i
n
(
A
+
δ
m
2
)
s
i
n
(
A
2
)
=
√
2
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