$(a)$ State Snell's law of refraction.
$(b)$ When a ray of light travelling in air enters obliquely into a glass slab, it is observed that the light ray emerges parallel to the incident ray but it is shifted sideways slightly. Draw a ray diagram to illustrate it.

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(N/A) Snell's law states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is constant for a given pair of media and for light of a given wavelength. Mathematically, $\frac{\sin i}{\sin r} = \text{constant} = n_{21}$, where $n_{21}$ is the refractive index of the second medium with respect to the first.
$(b)$ When a light ray enters a glass slab obliquely, it bends towards the normal as it travels from a rarer medium (air) to a denser medium (glass). Upon exiting the glass slab, it bends away from the normal as it travels from a denser medium to a rarer medium. The emergent ray is parallel to the incident ray but undergoes a lateral displacement.

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$(a)$ For the same angle of incidence $45^{\circ}$,the angle of refraction in two transparent media $I$ and $II$ is $20^{\circ}$ and $30^{\circ}$ respectively. Out of $I$ and $II$,which medium is optically denser and why?
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$(a)$ Water has a refractive index of $1.33$ and alcohol has a refractive index of $1.36$. Which of the two media is optically denser? Give a reason for your answer. Draw a ray diagram to show the path of a ray of light passing obliquely from water to alcohol.
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