PQR is a right-angled prism with other angles | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For total internal reflection $(TIR)$ at the face $PQ$,the angle of incidence $	heta$ must be greater than the critical angle $C$,i.e.,$	heta >

Vedclass · Accepted Answer

$1.3$

Vedclass · Answer

(B) For total internal reflection $(TIR)$ at the face $PQ$,the angle of incidence $	heta$ must be greater than the critical angle $C$,i.e.,$	heta > C$.From the geometry of the prism,the light falls normally on face $PR$,so it enters the prism undeviated. The angle of incidence at face $PQ$ is $	heta = 60^o$.For $TIR$,we require $	heta > C$,which implies $\sin 	heta > \sin C$.Since $\sin C = \frac{\mu_{liquid}}{\mu_{prism}}$,we have $\sin 60^o > \frac{\mu_{liquid}}{\mu_{prism}}$.Substituting the values: $\frac{\sqrt{3}}{2} > \frac{\mu_{liquid}}{1.5}$.$\mu_{liquid} Thus,the maximum refractive index of the liquid is approximately $1.3$.

$PQR$ is a right-angled prism with other angles as $60^o$ and $30^o$. The refractive index of the prism is $1.5$. $PQ$ has a thin layer of liquid. Light falls normally on the face $PR$. For total internal reflection at the face $PQ$,the maximum refractive index of the liquid is

Similar Questions

An optical fibre consists of a core of refractive index $\mu_1$ surrounded by a cladding of refractive index $\mu_2 < \mu_1$. $A$ beam of light enters from air at an angle $\alpha$ with the axis of the fibre. The highest angle $\alpha$ for which the ray can travel through the fibre is:

The refractive indices of the material of the prism and the liquid are $1.56$ and $1.32$ respectively. Find the value of $\theta$ for total internal reflection at the interface.

In the figure shown,for an angle of incidence $45^{\circ}$ at the top surface,what is the minimum refractive index $\mu$ needed for total internal reflection at the vertical face?

For a ray of light,the critical angle is minimum,when it travels from

The critical angle for light going from medium $A$ into medium $B$ is $\theta$. The speed of light in medium $A$ is $V_A$. What is the speed of light in medium $B$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module