A triangular prism of glass is shown in the f | vedclass

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

Question

(C) For total internal reflection,the angle of incidence $i$ must be greater than the critical angle $C$,i.e.,$i > C$.From the figure,the ray strikes

Vedclass · Accepted Answer

$n > \sqrt{2}$

Vedclass · Answer

(C) For total internal reflection,the angle of incidence $i$ must be greater than the critical angle $C$,i.e.,$i > C$.From the figure,the ray strikes the hypotenuse at an angle of incidence $i = 	heta = 45^o$.For total internal reflection to occur,we must have $	heta > C$.Taking the sine on both sides,$\sin 	heta > \sin C$.Since $\sin C = \frac{1}{n}$,where $n$ is the refractive index of the glass relative to air,we have $\sin 	heta > \frac{1}{n}$.Rearranging for $n$,we get $n > \frac{1}{\sin 	heta}$.Substituting $	heta = 45^o$,we get $n > \frac{1}{\sin 45^o} = \frac{1}{1/\sqrt{2}} = \sqrt{2}$.Thus,the refractive index of the glass must be $n > \sqrt{2}$.

$A$ triangular prism of glass is shown in the figure. $A$ ray incident normally to one face is totally reflected,if $\theta = 45^o$. The index of refraction of glass is

Similar Questions

The angle of a prism is $60^{\circ}$ and the angle of minimum deviation is $30^{\circ}$. The angle of incidence is ........$^{\circ}$.

If the angle of minimum deviation is equal to the angle of an equilateral prism,then the speed of light inside the prism is .....

At what angle of incidence should a ray of light be incident on a face of an equilateral prism if the angle of minimum deviation is $46^{\circ}$ (in $^{\circ}$)?

The refractive index of the material of a glass prism is $\sqrt{3}$. The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism (in $^{\circ}$)?

The angle of a prism is $A$ and its refractive index is $\cot \frac{A}{2}$. The angle of minimum deviation is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module