Questions in Ray Optics and Optical Instruments

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Each quarter of a vessel of depth H is filled with liquids of the refractive indices $n_1$, $n_2$, $n_3$ and $n_4$ from the bottom respectively. The apparent depth of the vessel when looked normally is
A ray of light passes through four transparent media with refractive indices ${{\mu }_{1}}.{{\mu }_{2}}{{\mu }_{3}},\text{ and}\,{{\mu }_{4}}$ as shown in the figure. The surfaces of all media are parallel. If the emergent ray CD is parallel to the incident ray AB, we must have Question Image
The reason of seeing the Sun a little before the sunrise is
An under water swimmer is at a depth of 12 m below the surface of water. A bird is at a height of 18 m from the surface of water, directly above his eyes. For the swimmer the bird appears to be at a distance from the surface of water equal to (Refractive Index of water is 4/3)
The optical path of a monochromatic light is same if it goes through 4.0 cm of glass or 4.5 cm of water. If the refractive index of glass is 1.53, the refractive index of the water is
Which of the following statement is true
A ray of light is incident on a transparent glass slab of refractive index 1.62. The reflected and the refracted rays are mutually perpendicular. The angle of incidence is
A microscope is focussed on a coin lying at the bottom of a beaker. The microscope is now raised up by $1$ cm. To what depth should the water be poured into the beaker so that coin is again in focus ? (Refractive index of water is $\frac{4}{3}$) [BHU 2003]
Velocity of light in glass whose refractive index with respect to air is $1.5$ is $2 \times 10^8$ m/s and in certain liquid the velocity of light found to be $2.5 \times 10^8$ m/s. The refractive index of the liquid with respect to air is
Stars are twinkling due to

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