SATHEE: Ray Optics and Optical Instruments

Ray Optics and Optical Instruments - Result Question 14

14. A light ray falls on a rectangular glass slab as shown. The index of refraction of the glass, if total internal reflection is to occur at the vertical face, is

[2002]

(a) $\sqrt{3 / 2}$

(b) $\frac{(\sqrt{3} + 1)}{2}$

(d) $\sqrt{5} / 2$

Show Answer

Answer:

Correct Answer: 14. (a)

Solution:

(a) For point A, $_{a} μ_{g} = \frac{\sin 45^{\circ}}{\sin r}$

$\Rightarrow \sin r = \frac{1}{{\sqrt{2}}_{a} μ_{g}}$

For point $B, \sin (90^{\circ} - r) =_{g} μ_{a}$ where, $(90^{\circ} - r)$ is critical angle.

$\begin{aligned} \Rightarrow_{a} μ_{g}^{2} = \frac{1}{1 - \frac{1}{2_{a} μ_{g}^{2}}} = \frac{2_{a} μ_{g}^{2}}{2_{a} μ_{g}^{2} - 1} \\ \Rightarrow 2_{a} μ_{g}^{2} - 1 = 2 \Rightarrow_{a} μ_{g} = \sqrt{\frac{3}{2}} \end{aligned}$

Play Store

App Store

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Ray Optics and Optical Instruments - Result Question 14

14. A light ray falls on a rectangular glass slab as shown. The index of refraction of the glass, if total internal reflection is to occur at the vertical face, is

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu