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Old Jul 2nd 2009, 01:13 AM   #1
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prism

acc to me as we increase the refractive index r1 ie first angle of refraction will decrese so 30-r1 will increase i am not able to solve furthur plese help me
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Old Jul 2nd 2009, 04:18 AM   #2
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Firstly extend the normals such that they meet inside the prism. Let the angle between them be A. The other two angles of this triangle are r1 and r2. Since the refractive index has increased, the ray will bend slightly more towards the normal i.e. r1 decreases to say r1 and the ray will hit the other edge slightly lower down. Form a new triangle. The angle A remains the same as it is the angle between the two normals . Since r1 < r1, r2 > r2 because

r1 + r2 + A = r1 + r2 + A = 180.

We have μ > μ

Now, R.I. μ = sin 30 / sin r1 = sin e / sin r2.

Since r2 > r2, Sin e has to increase to get the same μ, or e > 60.

Extend this ray back to find the new angle of deviation.
It will be found to have increased.
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