the Refrective index of the material of a Prism is √3/2and the angle of the Prism is 90° Find the angle of minimum deviation and corresponding angle of incidence.
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The angle of minimum deviation is 30°.
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Answer:
Let μ=
2
3
be the refractive index of prism.
Refracting angle of prism isA=90
°
At minimum deviation ,angle of incidence =angle of emergent
Therefore, 1×sinI=μ×sinr
1
1×sine=μ×sinr
2
Since, I=e
Therefore, r
1
=r
2
A+90
°
−r
1
+90
°
−r
2
=180
°
Therefore, r
1
=45
°
1×sinI=μ×sin45
°
Therefore, I=60
°
minimum deviation=2×i−90
minimum deviation=30
°
Hence, Option c is answer
Explanation:
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