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# A glass vessel in the shape of a triangular is filled with water, and light is incident normally on the face XY. If the refractive indices for water and glass are 4/3 and 3/2 respectively, total internal reflection will occur at the glass- air surface XY only. What is the minimum value of sinθ>23<23>43<43

A
<23
B
<43
C
>43
D
>23
Solution
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#### μ=1sinC [ where u is the refractive index (u2u1) C is critical angle ]⇒u2u1=1sinC⇒3243=1sinC⇒32×34=1sinC⇒98=1sinC∴sinC=89 C=62.73° ( approx. )Incident ray is perpendicular.Therefore it would not show any refraction or reflection. When incident ray reaches AC.It would make a △ with angle of prism 600 and with ac=180°60°+90°=30°Angle of incidence =90°−30°=60°Since incident angle is less than critical angle.

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