Snell's Law — Prelims Questions

A light ray passes from air into a rectangular glass slab with a refractive index of $1.5$. If the angle of incidence in air is $60^\circ$, what is the angle of refraction inside the glass slab?

Light travels from a medium A to a medium B. If the speed of light in medium A is $2.5 \times 10^8 \text{ m/s}$ and in medium B is $2.0 \times 10^8 \text{ m/s}$, what is the refractive index of medium B with respect to medium A ($n_{BA}$)?

A coin is placed at the bottom of a beaker filled with water to a depth of $12\,\text{cm}$. If the refractive index of water is $4/3$, what is the apparent depth of the coin when viewed from directly above?

A light ray is incident on a glass-air interface at an angle of $45^\circ$. If the refractive index of glass is $1.5$, what is the angle of refraction in air? (Given: $\sin 45^\circ = 1/\sqrt{2} \approx 0.707$)

Which of the following properties of light remains unchanged when it undergoes refraction?

A light ray enters a liquid from air. The angle of incidence is $30^\circ$ and the angle of refraction is $20^\circ$. What is the refractive index of the liquid?