Q. The graph between sine of angle of refraction $(\sin r)$ in medium 2 and sine of angle of incidence $(\sin i)$ in medium 1 indicates that $(\tan{36{^\circ}} \approx \frac{3}{4})$

A) Total internal reflection can take place
B) Total internal reflection cannot take place
C) Any of (a) and (b)
D) Data is incomplete
Explanation

(b) From graph, slope $= \tan\left( \frac{2\pi}{10} \right) = \frac{\sin r}{\sin i}$
Also $u_{1}\mu_{2} = \frac{\mu_{2}}{\mu_{1}} = \frac{\sin i}{\sin r} = \frac{1}{\tan\left( \frac{2\pi}{10} \right)} = \frac{4}{3} \Rightarrow \mu_{2} > \mu_{1}$
It means that medium 2 is denser medium. So total internal reflection cannot occur

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.