Question 162: Ray Optics

Question

Light travels in two media $$M_{1}$$ and $$M_{2}$$ with speeds $$1.5 	imes 10^{8} \mathrm{~ms}^{-1}$$ and $$2.0 	imes 10^{8} \mathrm{~ms}^{-1}$$ respectively. The critical angle between them is :

Accepted Answer

Critical angle between them
$$\sin {i_c} = {{{\mu _2}} \over {{\mu _1}}} = {{{v_1}} \over {{v_2}}}$$
$$\sin {i_c} = {3 \over 4}$$
$$ \Rightarrow 	an {i_c} = {3 \over {\sqrt 7 }}$$
$${i_c} = {	an ^{ - 1}}{3 \over {\sqrt 7 }}$$

Answer

$$	an ^{-1}\left(\frac{3}{\sqrt{7}}ight)$$

Answer

$$	an ^{-1}\left(\frac{2}{3}ight)$$

Answer

$$\cos ^{-1}\left(\frac{3}{4}\right)$$

Answer

$$\sin ^{-1}\left(\frac{2}{3}\right)$$

Ray Optics

Light travels in two media $M_{1} and M_{2} with speeds 1.5 \times 10^{8} \mathrm{~ms}^{-1} and 2.0 \times 10^{8} \mathrm{~ms}^{-1}$ respectively. The critical angle between them is :

Choose the correct answer: