A ray of light is incident on a right-angled | vedclass

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

Question

(A, C) The critical angle $	heta_{C} = \sin^{-1}\left(\frac{1}{\sqrt{2}}ight) = 45^{\circ}$.Applying Snell's law at the incident surface $S$ $(n_{1

Vedclass · Accepted Answer

The ray emerging at $R$ is parallel to the ray incident at $S$.

Vedclass · Answer

(A, C) The critical angle $	heta_{C} = \sin^{-1}\left(\frac{1}{\sqrt{2}}ight) = 45^{\circ}$.Applying Snell's law at the incident surface $S$ $(n_{1} \sin 	heta_{1} = n_{2} \sin 	heta_{2})$:$1 \cdot \sin 45^{\circ} = \sqrt{2} \cdot \sin 	heta \implies \sin 	heta = \frac{1}{2} \implies 	heta = 30^{\circ}$.At point $P$,the angle of incidence is $90^{\circ} - 15^{\circ} = 75^{\circ}$. Since $75^{\circ} > 45^{\circ}$,total internal reflection $(TIR)$ occurs at $P$.At point $Q$,the angle of incidence is $15^{\circ}$. Since $15^{\circ} The ray emerging at $R$ is parallel to the incident ray at $S$ because the geometry of the prism and the path of the ray result in a net deviation of $0^{\circ}$ (or $360^{\circ}$),meaning they are parallel. Thus,statement $A$ and $C$ are correct.

$A$ ray of light is incident on a right-angled isosceles prism parallel to its base as shown in the figure. The refractive index of the material of the prism is $\sqrt{2}$. Which of the following statement$(s)$ is/are true?

Similar Questions

$A$ ray of light is incident normally on the first refracting face of a prism of refracting angle $A$. The ray of light comes out at grazing emergence. If one half of the prism (shaded portion) is knocked off,the same ray will:

$A$ ray is incident at an angle of incidence $i$ on one surface of a small angle prism (with angle of prism $A$) and emerges normally from the opposite surface. If the refractive index of the material of the prism is $\mu$,then the angle of incidence is nearly equal to

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 $^{\circ}$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module