First slide

Ray optics

Question

A ray of light is incident on a glass sphere of refractive index 3/2. What should be the angle of incidence so that the ray which enters the sphere does not come out of the sphere ?

Moderate

A

tan^–1(2/3)
B

sin^–1 (2/3)
C

90^o
D

cos^–1 (1/3)

Solution

$r \geq θ_{c} ∴ μ = \frac{1}{\sin r}$
and from snell's law at first surface
(1) sin i= $μ$ sin r $\Rightarrow$ sin i = 1 $\Rightarrow$ i = 90^o

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