A beam of light both reflects and refracts at | vedclass

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

Question

(A) Let $i$ be the angle of incidence and $r$ be the angle of refraction.According to the law of reflection,the angle of reflection is equal to the an

Vedclass · Accepted Answer

$	an ^{-1}(1.4)$

Vedclass · Answer

(A) Let $i$ be the angle of incidence and $r$ be the angle of refraction.According to the law of reflection,the angle of reflection is equal to the angle of incidence,which is $i$.The sum of the angles on a straight line at the point of incidence is $180^{\circ}$.Given that the reflected and refracted rays are perpendicular,the angle between them is $90^{\circ}$.Thus,$i + 90^{\circ} + r = 180^{\circ}$.This simplifies to $i + r = 90^{\circ}$,or $r = 90^{\circ} - i$.Applying Snell's law at the interface:$n_1 \sin i = n_2 \sin r$Given $n_1 = 1$ (air) and $n_2 = 1.4$ (glass):$1 \cdot \sin i = 1.4 \cdot \sin(90^{\circ} - i)$Since $\sin(90^{\circ} - i) = \cos i$,we have:$\sin i = 1.4 \cos i$$\frac{\sin i}{\cos i} = 1.4$$	an i = 1.4$$i = 	an^{-1}(1.4)$

$A$ beam of light both reflects and refracts at the surface between air and glass. The refractive index of the glass is $1.4$. If the refracted and the reflected rays are perpendicular to each other,then the angle of incidence in the air is

Similar Questions

$A$ ray of light is incident on the surface of a glass plate of refractive index $\sqrt{3}$ at the polarising angle. The angle of refraction of the ray is (in $^{\circ}$)

Unpolarised light is incident on a plane glass surface. What should be the angle of incidence so that the reflected and refracted rays are perpendicular to each other (in $°$)?

$A$ ray of light is incident from a denser to a rarer medium. The critical angle for total internal reflection is $\theta_{iC}$ and Brewster's angle of incidence is $\theta_{iB}$,such that $\sin \theta_{iC} / \sin \theta_{iB} = \eta = 1.28$. The relative refractive index of the two media is

$A$ beam of light strikes a piece of glass at an angle of incidence of $60^{\circ}$ and the reflected beam is completely plane-polarized. The refractive index of glass is

The polarising angle of a transparent medium is $\theta$. Let the speed of light in the medium be $v$. Then the relation between $\theta$ and $v$ is [where $c$ is the velocity of light in air].

Vedclass Test Series

Exam Paper Generator

Online Exam Module