Question

array of light falling normally on the face ab of an equilateral glass prism having the refractive index 3 by 2 placed in a water of index 4 by 3 will this race of 40 IR total internal reflection on striking the phase AC justify your answer

Answer 1

However I was too searching for the answer
But as i too appeared the boards yesterday
My answer was as follows
Since, u = 1 / sin c {where u is the refractive index (u2/u1) and c is critical angle}
u2/u1 = 1 / sin c
3/2//4/3 = 1 / sin c
9/8 = 1 / sin c
Sin c = 8/9
c = approx 62.73° (calculated through calculator now)
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Now observe the figure
Since incident ray is perpendicular
Therefore it won't show any refraction or any reflection
While incident ray reaches AC
It would make a triangle with angle of prism 60° and perpendicular angle now angle of incident ray with ac is 180 - 60 + 90 = 30°
Angle of incidence = 90 - 30
= 60°
Since angle of incidence is less than critical angle, Ray will NOT suffer TIR
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*This was my answer as ameture student*
*Kindly don't mark this as correct answer*
*I am too searching for this question's solution*