Question 298: Ray Optics

Question

Two transparent media A and B are separated by a plane boundary. The speed of light in those media are 1.5 $$	imes$$ 10
8
m/s and 2.0 $$	imes$$ 10
8
m/s, respectively. The critical angle for a ray of light for these two media is

Accepted Answer

$${\mu _A} = {{3 	imes {{10}^8}} \over {1.5 	imes {{10}^8}}} = 2$$
$${\mu _B} = {{3 	imes {{10}^8}} \over {2 	imes {{10}^8}}} = 1.5$$
For TIR, ray of light should travel from denser to rarer medium
$${\mu _A}\sin {	heta _C} = {\mu _B}\sin 90^\circ $$
$$2\sin {	heta _C} = 1.5\sin 90^\circ $$
$$\sin {	heta _C} = 0.75$$
$${	heta _C} = {\sin ^{ - 1}}(0.75)$$

Answer

sin
$$-$$1
(0.500)

Answer

sin
$$-$$1
(0.750)

Answer

tan
$$-$$1
(0.500)

Answer

tan
$$-$$1
(0.750)

Ray Optics

Two transparent media A and B are separated by a plane boundary. The speed of light in those media are 1.5 $\times 10 8 m/s and 2.0 \times$ 10 8 m/s, respectively. The critical angle for a ray of light for these two media is

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