An isosceles glass prism with base angles 40^ | vedclass

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

Question

(B) The base angles of the isosceles prism are $40^{\circ}$. The angle of incidence at the base is determined by the geometry of the prism. Since the

Vedclass · Accepted Answer

$\mu > 2.07$

Vedclass · Answer

(B) The base angles of the isosceles prism are $40^{\circ}$. The angle of incidence at the base is determined by the geometry of the prism. Since the light is incident normally on the inclined face,it enters the prism without deviation and strikes the base at an angle of $40^{\circ}$ with respect to the normal.For total internal reflection $(TIR)$ to occur at the base,the angle of incidence $i$ must be greater than the critical angle $	heta_c$ between the glass and water.Given $i = 40^{\circ}$,the condition for $TIR$ is $i > 	heta_c$,which implies $\sin i > \sin 	heta_c$.We know that $\sin 	heta_c = \frac{\mu_w}{\mu_g}$,where $\mu_w = 1.33$ is the refractive index of water and $\mu_g = \mu$ is the refractive index of the glass.Therefore,$\sin 40^{\circ} > \frac{1.33}{\mu}$.Rearranging for $\mu$,we get $\mu > \frac{1.33}{\sin 40^{\circ}}$.Using $\sin 40^{\circ} \approx 0.6428$,we calculate $\mu > \frac{1.33}{0.6428} \approx 2.069$.Rounding to two decimal places,the condition is $\mu > 2.07$.

Similar Questions

If the angle of a prism is $60^{\circ}$ and the angle of minimum deviation is $40^{\circ}$,then the angle of refraction will be (in $^{\circ}$)

When white light passes through a glass prism,one gets a spectrum on the other side of the prism. In the emergent beam,the ray which deviates the least is:

The refractive index of a glass is $1.520$ for red light and $1.525$ for blue light. Let $D_1$ and $D_2$ be the angles of minimum deviation for red and blue light,respectively,in a prism of this glass. Then,

The path of a refracted ray of light in a prism is parallel to the base of the prism only when the

Vedclass Test Series

Exam Paper Generator

Online Exam Module