The exit surface of a prism with refractive i | vedclass

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

Question

(A) For the condition of minimum deviation, the angle of incidence $i$ is equal to the angle of emergence $e$, and the angle of refraction $r$ is give

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(A) For the condition of minimum deviation, the angle of incidence $i$ is equal to the angle of emergence $e$, and the angle of refraction $r$ is given by $r = \frac{A}{2}$, where $A$ is the prism angle.At the exit surface, the light ray strikes the interface between the prism (refractive index $n$) and the coating (refractive index $n/2$).For the condition of the critical angle $	heta_{c}$, the angle of refraction $r$ must be equal to $	heta_{c}$.According to Snell's law at the exit surface: $n \sin(r) = (n/2) \sin(90^{\circ})$.Since $\sin(90^{\circ}) = 1$, we have $n \sin(r) = n/2$.Dividing both sides by $n$, we get $\sin(r) = 1/2$.Since $r = A/2$, we have $\sin(A/2) = 1/2$.Therefore, $A/2 = 30^{\circ}$, which gives $A = 60^{\circ}$.

The exit surface of a prism with refractive index $n$ is coated with a material having refractive index $\frac{n}{2}$. When this prism is set for minimum angle of deviation, it exactly meets the condition of the critical angle. The prism angle is . . . . . . (in $^{\circ}$)

Similar Questions

Two beams of red and violet colours are made to pass separately through a prism of $A=60^{\circ}$. In the minimum deviation position,the angle of refraction inside the prism will be

At what angle should a ray of light be incident on the face of a prism of refracting angle $60^{\circ}$ so that it just suffers total internal reflection at the other face? The refractive index of the material of the prism is $1.524$.

$A$ thin prism having refracting angle $10^{\circ}$ is made of glass of refractive index $1.42$. This prism is combined with another thin prism of glass of refractive index $1.7$. This combination produces dispersion without deviation. The refracting angle of the second prism should be....$^{\circ}$

$A$ light ray incident normally on one face of an equilateral prism and emerges out grazingly at the other face. The refractive index of the prism is

Which of the following diagrams correctly shows the dispersion of white light by a prism?

Vedclass Test Series

Exam Paper Generator

Online Exam Module