A ray of light is incident on the surface of | vedclass

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

Question

(C) According to Brewster's law,when light is incident at the Brewster's angle $\phi$ on a transparent medium,the reflected ray and the refracted ray

Vedclass · Accepted Answer

$90^\circ$

Vedclass · Answer

(C) According to Brewster's law,when light is incident at the Brewster's angle $\phi$ on a transparent medium,the reflected ray and the refracted ray are mutually perpendicular to each other.Let $i$ be the angle of incidence,$r$ be the angle of refraction,and $\phi$ be the Brewster's angle.Given $i = \phi$.From Snell's law,$\mu = \frac{\sin \phi}{\sin r}$.Also,by Brewster's law,$\mu = 	an \phi = \frac{\sin \phi}{\cos \phi}$.Equating the two expressions for $\mu$,we get $\frac{\sin \phi}{\sin r} = \frac{\sin \phi}{\cos \phi}$,which implies $\sin r = \cos \phi = \sin(90^\circ - \phi)$.Therefore,$r = 90^\circ - \phi$,or $\phi + r = 90^\circ$.The angle between the reflected ray and the surface is $90^\circ - \phi$. The angle between the refracted ray and the normal is $r$. The angle between the reflected ray and the refracted ray is $180^\circ - (90^\circ - \phi) - r = 90^\circ + \phi - r = 90^\circ + \phi - (90^\circ - \phi) = 90^\circ$ is incorrect logic; rather,the angle between the reflected ray and the refracted ray is $180^\circ - (90^\circ - \phi) - r = 180^\circ - (90^\circ - \phi) - (90^\circ - \phi) = 180^\circ - 90^\circ = 90^\circ$.

$A$. $Pa \cdot s$	$(i)$ $[L^2 \ T^{-2} \ K^{-1}]$
$B$. $N \cdot m \cdot K^{-1}$	$(ii)$ $[M \ L \ T^{-3} \ K^{-1}]$
$C$. $J \cdot kg^{-1} \cdot K^{-1}$	$(iii)$ $[M \ L^{-1} \ T^{-1}]$
$D$. $W \cdot m^{-1} \cdot K^{-1}$	$(iv)$ $[M \ L^2 \ T^{-2} \ K^{-1}]$

$A$ ray of light is incident on the surface of a glass plate at an angle of incidence equal to Brewster's angle $\phi$. If $\mu$ represents the refractive index of glass with respect to air,then the angle between the reflected and refracted rays is:

Similar Questions

Which of the following is not a broad spectrum antibiotic?

If $x^2+2px-2p+8>0$ for all real values of $x$,then the set of all possible values of $p$ is

Reproducing new plants by cells instead of seeds is known as

Beats are produced by two waves $y_1 = a \sin(1000\pi t)$ and $y_2 = a \sin(998\pi t)$. The number of beats heard per second is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module