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JEE Main Physics Class 12 Wave Optics Part 1 Questions
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© examsnet.com
Question : 42
Total: 100
Consider a tank made of glass (refractive index 1.5) with a thick bottom. It is filled with a liquid of refractive index µ. A student finds that, irrespective of what the incident angle i (see figure) is for a beam of light entering the liquid, the light reflected from the liquid glass interface is never completely polarized. For this to happen, the minimum value of µ is:
[9 Jan. 2019 I]
√
5
3
3
√
5
5
√
3
4
3
Validate
Solution:
According to Brewster's law, refractive index of material
(
µ
)
is equal to tangent of polarising angle
∵
tan
i
b
=
µ
=
1.5
µ
1
µ
<
1.5
√
µ
2
+
(
1.5
)
2
(
∵
sin
i
c
<
sin
i
b
)
∴
sin
i
b
=
1.5
√
µ
2
+
(
1.5
)
2
or,
√
µ
2
+
(
1.5
)
2
<
1.5
×
µ
⇒
µ
2
+
(
1.5
)
2
<
(
µ
×
1.5
)
2
⇒
µ
<
3
√
5
i.e. minimum value of
µ
shouldbe
3
√
5
© examsnet.com
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