Assertion: The refractive index of diamond is | vedclass

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

Question

(C) Given: Refractive index of diamond with respect to air,$\mu_d = \sqrt{6}$. Refractive index of liquid with respect to air,$\mu_l = \sqrt{3}$.The r

Vedclass · Accepted Answer

If the Assertion is correct but Reason is incorrect.

Vedclass · Answer

(C) Given: Refractive index of diamond with respect to air,$\mu_d = \sqrt{6}$. Refractive index of liquid with respect to air,$\mu_l = \sqrt{3}$.The refractive index of diamond with respect to the liquid is given by $\mu = \frac{\mu_d}{\mu_l} = \frac{\sqrt{6}}{\sqrt{3}} = \sqrt{2}$.For total internal reflection to occur,the angle of incidence $i$ must be greater than the critical angle $C$. The critical angle $C$ is given by $\sin C = \frac{1}{\mu} = \frac{1}{\sqrt{2}}$.Thus,$C = 45^{\circ}$.Since the given angle of incidence $i = 30^{\circ}$ is less than the critical angle $C = 45^{\circ}$,total internal reflection will not occur. Therefore,the Assertion is incorrect.The Reason states $\mu = \frac{1}{\sin C}$,which is the correct formula for the critical angle where $\mu$ is the refractive index of the denser medium with respect to the rarer medium. Thus,the Reason is correct.

Similar Questions

Critical angle of incidence for a pair of optical media is $45^{\circ}$. The refractive indices of the first and second media are in the ratio:

Which of the following is not due to total internal reflection?

$A$ point source of light is placed $4 \; m$ below the surface of water of refractive index $5/3$. The minimum diameter of a disc which should be placed over the source on the surface of water to cut-off all light coming out of water is ... $m$.

For the given incident ray as shown in the figure,what is the minimum refractive index of the prism required for total internal reflection of this ray?

$A$ ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If $\mu$ is the refractive index of the material of the prism, the maximum value of the base angle for which light is totally reflected from the hypotenuse is

Vedclass Test Series

Exam Paper Generator

Online Exam Module