Questions in Ray Optics and Optical Instruments

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A beam of light propagating in medium A with index of refraction n (A) passes across an interface into medium B with index of refraction n(B). The angle of incidence is greater than the angle of refraction; v(A) and v(B) denotes the speed of light in A and B. Then which of the following is true
A rectangular tank of depth 8 meter is full of water ($\mu =4/3$), the bottom is seen at the depth
A vessel of depth 2d cm is half filled with a liquid of refractive index ${{\mu }_{1}}$ and the upper half with a liquid of refractive index ${{\mu }_{2}}$. The apparent depth of the vessel seen perpendicularly is
A beam of light is converging towards a point $I$ on a screen. A plane glass plate whose thickness in the direction of the beam = $t$, refractive index = $\mu $, is introduced in the path of the beam. The convergence point is shifted by
Light travels through a glass plate of thickness t and having refractive index $n$. If $c$ is the velocity of light in vacuum, the time taken by the light to travel this thickness of glass is
When a light wave goes from air into water, the quality that remains unchanged is its
Light takes 8 min 20 sec to reach from sun on the earth. If the whole atmosphere is filled with water, the light will take the time ($_{a}{{\mu }_{w}}=4/3$)
The length of the optical path of two media in contact of length ${{d}_{1}}$ and ${{d}_{2}}$ of refractive indices $$${{\mu }_{1}}$ and ${{\mu }_{2}}$ respectively, is
Immiscible transparent liquids A, B, C, D and E are placed in a rectangular container of glass with the liquids making layers according to their densities. The refractive index of the liquids are shown in the adjoining diagram. The container is illuminated from the side and a small piece of glass having refractive index 1.61 is gently dropped into the liquid layer. The glass piece as it descends downwards will not be visible in Question Image
The refractive indices of glass and water w.r.t. air are 3/2 and 4/3 respectively. The refractive index of glass w.r.t. water will be

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