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Standard X
Physics
Question
The refracting angle of a prism is A and the refractive index of the material of the prism is
cot
A
2
. The angle of minimum deviation of the prism is
π
+
2
A
π
−
2
A
π
2
−
A
π
2
+
A
A
π
+
2
A
B
π
−
2
A
C
π
2
+
A
D
π
2
−
A
Open in App
Solution
Verified by Toppr
It is given
μ
=
c
o
t
A
/
2
We know that:
μ
=
s
i
n
(
δ
m
+
A
2
)
s
i
n
A
/
2
⇒
c
o
t
A
/
2
=
s
i
n
(
δ
m
+
A
2
)
s
i
n
(
A
/
2
)
⇒
c
o
s
A
/
2
s
i
n
A
/
2
=
s
i
n
(
δ
m
+
A
2
)
s
i
n
A
/
2
⇒
s
i
n
(
π
/
2
−
A
/
2
)
=
s
i
n
(
δ
m
+
A
2
)
⇒
π
/
2
−
A
/
2
=
δ
m
+
A
2
⇒
π
−
2
A
=
δ
m
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