(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

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$A$ ray of light from a denser medium strikes a rarer medium. The angle of reflection is $r$ and that of refraction is $r'$. The reflected and refracted rays make an angle of $90^{\circ}$ with each other. The critical angle will be:

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MediumKCET 2007

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Calculate the critical angle for a glass-air surface,if a ray of light incident in air on the glass surface is deviated by $15^{\circ}$ when the angle of incidence is $45^{\circ}$. (in $^{\circ}$)

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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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$A$ small bulb is placed at the bottom of a tank containing water to a depth of $\sqrt{7} \; m$. The refractive index of water is $\frac{4}{3}$. The area of the surface of water through which light from the bulb can emerge out is $x \,\pi \; m^{2}$. The value of $x$ is ...............

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