One face of a prism with a refracting angle o | vedclass

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

Question

(D) Given: Refracting angle $A = 30^{\circ}$,angle of incidence $i_{1} = 45^{\circ}$.Since the ray retraces its path after reflection from the silvere

Vedclass · Accepted Answer

$\sqrt{2}$

Vedclass · Answer

(D) Given: Refracting angle $A = 30^{\circ}$,angle of incidence $i_{1} = 45^{\circ}$.Since the ray retraces its path after reflection from the silvered face,the ray must strike the silvered face normally. Therefore,the angle of refraction at the second face is $r_{2} = 0^{\circ}$.Using the relation $r_{1} + r_{2} = A$,we get $r_{1} + 0^{\circ} = 30^{\circ}$,so $r_{1} = 30^{\circ}$.Applying Snell's Law at the first face: $\mu = \frac{\sin i_{1}}{\sin r_{1}}$.Substituting the values: $\mu = \frac{\sin 45^{\circ}}{\sin 30^{\circ}} = \frac{1/\sqrt{2}}{1/2} = \frac{2}{\sqrt{2}} = \sqrt{2}$.Thus,the refractive index of the prism is $\sqrt{2}$.

One face of a prism with a refracting angle of $30^{\circ}$ is coated with silver. $A$ ray incident on the other face at an angle of $45^{\circ}$ is refracted,reflected from the silver-coated face,and retraces its path. The refractive index of the prism is:

Similar Questions

$A$ prism of refractive index $\sqrt{2}$ has a refracting angle of $60^{\circ}$. In order for a ray to suffer minimum deviation,it should be incident at an angle of .......$^{\circ}$.

The respective angles of the flint and crown glass prisms are $A'$ and $A$. They are to be used for dispersion without deviation. The ratio of their angles $A'/A$ will be:

The angle of incidence for an equilateral prism is $45^{\circ}$. What should be the refractive index of the prism material so that the ray is parallel to the base inside the prism?

The expected graphical representation of the variation of angle of deviation $\delta$ with angle of incidence $i$ in a prism is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module