(C) For Total Internal Reflection $(TIR)$,the critical angle $C$ is given by the formula $\mu_1 \sin C = \mu_2 \sin 90^{\circ}$.Given $\mu_1 = 1.4$ (l

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The ray will be internally reflected.

(C) For Total Internal Reflection $(TIR)$,the critical angle $C$ is given by the formula $\mu_1 \sin C = \mu_2 \sin 90^{\circ}$.Given $\mu_1 = 1.4$ (liquid) and $\mu_2 = 1$ (air).So,$1.4 \times \sin C = 1 \times 1 \Rightarrow \sin C = \frac{1}{1.4} = \frac{10}{14} = \frac{5}{7} \approx 0.714$.The sine of the angle of incidence is given as $\sin i = 0.8$.Since $\sin i > \sin C$ (because $0.8 > 0.714$),it implies that $i > C$.When the angle of incidence is greater than the critical angle,the light ray undergoes Total Internal Reflection $(TIR)$ at the boundary surface.

Class 12 Physics Ray Optics and Optical Instruments Critical Angle and Total Internal Reflection

$A$ ray of light in a liquid of refractive index $1.4$ approaches the boundary surface between the liquid and air at an angle of incidence whose sine is $0.8$. Which of the following statements is correct about the behavior of the light?

A
It is impossible to predict the behavior of the light ray on the basis of the information supplied.
B
The sine of the angle of refraction of the emergent ray will be less than $0.8$.
C
The ray will be internally reflected.
D
The sine of the angle of refraction of the emergent ray will be greater than $0.8$.

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Ray Optics and Optical Instruments

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Critical Angle and Total Internal Reflection

$A$ ray of light travels from an optically denser to a rarer medium. The critical angle for the two media is $C$. The maximum possible deviation of the ray will be

EasyAP EAMCET 2024

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$A$ point source of light $S$ is placed at the bottom of a vessel containing a liquid of refractive index $\mu = 5/3$. $A$ person is viewing the source from above the surface. There is an opaque disc $D$ of radius $r = 1\, cm$ floating on the surface of the liquid. The centre of the disc lies vertically above the source $S$. The liquid from the vessel is gradually drained out through a tap. The maximum height $h$ of the liquid for which the source cannot be seen at all from above is: (in $, cm$)

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The figure shows a mixture of blue,green,and red colored rays incident normally on a right-angled prism. The critical angles of the material of the prism for red,green,and blue are $46^{\circ}$,$44^{\circ}$,and $43^{\circ}$ respectively. The arrangement will separate:

MediumKCET 2008

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The critical angle for diamond with respect to air is nearly (in $^{\circ}$)

EasyAP EAMCET 2023

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Consider the ray diagram for the refraction given below. The maximum value of angle $\theta$ for which the light suffers total internal reflection at the vertical surface is:

MediumAIIMS 2015

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$A$ ray of light in a liquid of refractive index $1.4$ approaches the boundary surface between the liquid and air at an angle of incidence whose sine is $0.8$. Which of the following statements is correct about the behavior of the light?

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