In the figure,ABC is the cross-section of a r | vedclass

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

Question

(A) The light ray is incident normally on face $AB$,so it enters the prism without deviation.It strikes the face $BC$ at an angle of incidence $i = 90

Vedclass · Accepted Answer

$	heta \leq 37^o$

Vedclass · Answer

(A) The light ray is incident normally on face $AB$,so it enters the prism without deviation.It strikes the face $BC$ at an angle of incidence $i = 90^o - 	heta$.For the light not to cross the face $BC$,it must undergo Total Internal Reflection $(TIR)$ at the interface $BC$.The condition for $TIR$ is $i \geq 	heta_c$,where $	heta_c$ is the critical angle.The refractive index of the prism is $n_1 = 3/2$ and the refractive index of the slab is $n_2 = 6/5$.The critical angle $	heta_c$ is given by $\sin 	heta_c = \frac{n_2}{n_1} = \frac{6/5}{3/2} = \frac{6}{5} 	imes \frac{2}{3} = \frac{4}{5}$.Thus,$	heta_c = \sin^{-1}(4/5) = 53^o$.Applying the condition $i \geq 	heta_c$:$90^o - 	heta \geq 53^o$$90^o - 53^o \geq 	heta$$	heta \leq 37^o$.

In the figure,$ABC$ is the cross-section of a right-angled prism and $BCDE$ is the cross-section of a glass slab. The value of $\theta$ so that light incident normally on the face $AB$ does not cross the face $BC$ is (given $\sin^{-1}(3/5) = 37^o$):

Similar Questions

$A$ glass prism of refractive index $1.5$ is immersed in water (refractive index $\frac{4}{3}$) as shown in the figure. $A$ light beam incident normally on the face $AB$ is totally internally reflected at the face $AC$ to reach the face $BC$,if:

The refractive index of the medium is:

The reason for the shining of an air bubble in water is

$A$ ray of light travelling inside a rectangular glass block of refractive index $\sqrt{2}$ is incident on the glass-air surface at an angle of incidence of $45^{\circ}$. The refractive index of air is $1$. Under these conditions,the ray:

$A$ step index fibre has a relative refractive index difference of $0.88\%$. What is the critical angle at the core-cladding interface in degrees?

Vedclass Test Series

Exam Paper Generator

Online Exam Module