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JEE Main Physics Class 12 Ray Optics and Optical Instruments Part 1 Questions
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© examsnet.com
Question : 27
Total: 99
In figure, the optical fiber is
l
=
2
m
long and has a diameter of
d
=
20
µ
m
. If a ray of light is incident on one end of the fiber at angle
θ
1
=
40
°
,
the number of reflections it makes before emerging from the other end is close to :
(refractive index of fiber is 1.31 and
sin
40
°
=
0.64
)
[8 April 2019 I]
55000
66000
45000
57000
Validate
Solution:
Using Snell's law of refraction,
1
×
sin
40
°
=
1.31
sin
θ
⇒
sin
θ
=
0.64
1.31
=
0.49
≈
0.5
⇒
θ
=
30
°
x
=
20
µ
m
×
cot
θ
∴
Number of reflections
=
2
20
×
10
−
6
×
cot
θ
=
2
×
10
6
20
×
√
3
=
57735
≈
57000
© examsnet.com
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