A ray of light is incident on one face of an | vedclass

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

Question

(D) The emergent ray just grazes the second face,so the angle of emergence $e = 90^{\circ}$.Using Snell's law at the second face: $\mu = \frac{\sin e}

Vedclass · Accepted Answer

$\sin ^{-1}\left(\sqrt{2} \sin 15^{\circ}\right)$

Vedclass · Answer

(D) The emergent ray just grazes the second face,so the angle of emergence $e = 90^{\circ}$.Using Snell's law at the second face: $\mu = \frac{\sin e}{\sin r_2} = \frac{\sin 90^{\circ}}{\sin r_2} = \frac{1}{\sin r_2}$.Given $\mu = \sqrt{2}$,we have $\sin r_2 = \frac{1}{\sqrt{2}}$,which gives $r_2 = 45^{\circ}$.For an equilateral prism,the prism angle $A = 60^{\circ}$.Using the relation $A = r_1 + r_2$,we find $r_1 = A - r_2 = 60^{\circ} - 45^{\circ} = 15^{\circ}$.Applying Snell's law at the first face: $\frac{\sin i}{\sin r_1} = \mu$.Therefore,$\sin i = \mu \sin r_1 = \sqrt{2} \sin 15^{\circ}$.Thus,$i = \sin ^{-1}(\sqrt{2} \sin 15^{\circ})$.

$A$ ray of light is incident on one face of an equilateral glass prism having refractive index $\sqrt{2}$. It produces the emergent ray which just grazes along the adjacent face. The value of angle of incidence is

Similar Questions

The angle of a prism is $A$. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence $2A$ on the first surface return back through the same path after suffering reflection at the silvered surface. The refractive index $\mu$ of the prism is:

$A$ thin prism with angle $5^{\circ}$ and refractive index $1.72$ is combined with another prism of refractive index $1.9$ to produce dispersion without deviation. The angle of the second prism is . . . . . . . (in $^{\circ}$)

An equilateral prism $P$ produces a minimum deviation for a given light ray. Additional prisms $Q$ and $R$ of the same shape and material are placed as shown in the figure. The ray will experience:

The cross-section of a prism $(\mu = 1.5)$ is an equilateral triangle. $A$ ray of light is incident perpendicular on one of the faces. The angle of deviation of the ray is......$^o$

At what angle will a ray of light be incident on one face of an equilateral prism,so that the emergent ray may graze the second surface of the prism $(\mu=2)$ (in $^{\circ}$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module