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  • A light ray falls on square glass slab as shown in the diagram. The index of refraction of the glass, if total internal reflection is to occur at the vertical face, is equal to: <img alt=

A light ray falls on square glass slab as shown in the diagram. The index of refraction of the glass, if total internal reflection is to occur at the vertical face, is equal to:

Option: 1

\frac{\sqrt{2}+1}{2}


Option: 2

\sqrt{\frac{5}{2}}


Option: 3

\frac{3}{2}


Option: 4

\sqrt\frac{3}{2}


Answers (1)

best_answer

 

 

 

 

 

\begin{aligned} &\sin 45^{\circ}=\mu \sin r\\ &\sin r=\frac{1}{\sqrt{2} \mu}\\ & \ using \ \ r=90^0-\theta _C\\ &\sin \left(90^{\circ}-\theta_{C}\right)=\frac{1}{\sqrt{2} \mu}\\ &\frac{\sqrt{\mu^{2}-1}}{\mu}=\frac{1}{\sqrt{2} \mu}\\ &\mu^{2}-1=\frac{1}{2}\\ &\mu=\sqrt{\frac{3}{2}} \end{aligned}

Posted by

Ajit Kumar Dubey

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