On an equilateral prism,it is observed that a | vedclass

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

Question

(B) For an equilateral prism,the prism angle $A = 60^o$.Given that the ray strikes grazingly at one face,the angle of incidence $i = 90^o$.According t

Vedclass · Accepted Answer

$120$

Vedclass · Answer

(B) For an equilateral prism,the prism angle $A = 60^o$.Given that the ray strikes grazingly at one face,the angle of incidence $i = 90^o$.According to Snell's law at the first surface: $1 \cdot \sin(90^o) = n \cdot \sin(r_1)$,where $n = 2$.$1 = 2 \cdot \sin(r_1) \implies \sin(r_1) = 0.5 \implies r_1 = 30^o$.Since $A = r_1 + r_2$,we have $60^o = 30^o + r_2$,which gives $r_2 = 30^o$.For the second surface,the angle of emergence $e$ is given by $n \cdot \sin(r_2) = 1 \cdot \sin(e)$.$2 \cdot \sin(30^o) = \sin(e) \implies 2 \cdot 0.5 = \sin(e) \implies \sin(e) = 1 \implies e = 90^o$.The angle of deviation $\delta$ is given by $\delta = i + e - A$.$\delta = 90^o + 90^o - 60^o = 120^o$.

On an equilateral prism,it is observed that a ray strikes grazingly at one face and if the refractive index of the prism is $2$,then the angle of deviation is $........^o$.

Similar Questions

$A$ glass prism having a refractive index $\mu$ is placed in air. If the angle of minimum deviation of the prism is equal to the angle of the prism,what is the value of the angle of the prism?

The angle of incidence for a ray of light at a refracting surface of a prism is $45^o$. The angle of the prism is $60^o$. If the ray suffers minimum deviation through the prism,the angle of minimum deviation and the refractive index of the material of the prism,respectively,are:

$A$ light ray enters through a right-angled prism at point $P$ with an angle of incidence of $30^{\circ}$ as shown in the figure. It travels through the prism parallel to its base $BC$ and emerges along the face $AC$. The refractive index of the prism is:

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

If $r_1$ and $r_2$ are the angles of refraction at the first and second faces of a prism,respectively,then the angle of the prism is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module