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JEE Main Physics Class 12 Ray Optics and Optical Instruments Part 1 Questions
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© examsnet.com
Question : 5
Total: 99
TOPIC 2 - Refraction of Light at Plane Surface and Total Internal Reflection
An observer can see through a small hole on the side of a jar (radius 15 cm) at a point at height of 15 cm from the bottom (see figure). The hole is at a height of 45 cm. When the jar is filled with a liquid up to a height of 30 cm the same observer can see the edge at the bottom of the jar. If the refractive index of the liquid is N/100, where N is an integer, the value of N is ___________.
[NA Sep. 03, 2020 (I)]
Your Answer:
Validate
Solution:
From figure,
sin
i
=
15
√
15
2
+
30
2
and
sin
r
=
sin
45
°
From Snell's law,
µ
×
sin
i
=
1
×
sin
r
⇒
µ
×
15
√
15
2
+
30
2
=
1
×
sin
45
°
=
1
√
2
∴
µ
=
1
√
2
15
√
1125
=
158
×
10
−
2
=
N
100
Hence, value of
N
≃
158
© examsnet.com
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