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A ray incident at anangle 53 degrees on a prism emerges at an angle 37 degrees. If the angle of incdence is is made 50 degress then what will be the angle of emergence?

A ray incident at anangle 53 degrees on a prism emerges at an angle 37 degrees. If the angle of incdence is is made 50 degress then what will be the angle of emergence?

Grade:Upto college level

4 Answers

vikas askiitian expert
509 Points
13 years ago

i + e = A + d

d = deviation , A is angle of prism ...

i + e = constant

so , i1 + e1 = i2+e2

e2 = 37+53-50 = 40o

aku -- kumar
38 Points
13 years ago

it will be around 40-41.5™

Vishal kumar
19 Points
6 years ago
let "n" be refractive index of prism. And we take n=1 because , n is always use in both cases. Use Snell`s law, thenSin53=nsinr1 Or r2=n53=53Again Use Snell`s law,nsinr2=sin37 or r2=37n=37We know that , r1+r2=A or 53+37=A=90Now, When i=50 then , Use Snell`s lawSin50=nsinr1 or r1=n50=50 And r1+r2=A 50+r2=90 or r2 = 40, NOW AGAIN Use Snell`s law, nsin40=sine or e= 40 ans✓✓✓✓✓✓✓
Rishi Sharma
askIITians Faculty 646 Points
3 years ago
Dear Student,
Please find below the solution to your problem.

Let "n" be refractive index of prism.
And we take n=1 because , n is always use in both cases.
Use Snell`s law, then Sin53=n sinr1
r2 = n53 = 53
Again Use Snell`s law, nsinr2 = sin37
r2 = 37
n = 37
We know that , r1 + r2 = A
53 + 37 = A = 90
Now, When i = 50 then,
Use Snell`s law
Sin50 = nsinr1
r1 = n50=50
And r1 + r2 = A
50 + r2 = 90
r2 = 40,
NOW AGAIN Use Snell`s law,
nsin40=sine
e= 40

Thanks and Regards

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