A cubic tank (of edge λ ) and position of an observer are shown in the figure. When the tank is empty, edge of the bottom surface of the tank is just visible. An insect is at the centre of its bottom surface.
A
To what height a transparent liquid of refractive index µ = 
must be poured in the tank so that the insect will become visible ?
must be poured in the tank so that the insect will become visible ?
B
A small hole of area a = 
is made in the vertical wall of the tank near its bottom surface at time t = 0, and at the same time the insect starts moving. Find the speed of the insect as a function of time so that it will be just visible at all times. Take the initial height of the liquid as calculated in part (i), while the position of the tank and that of the opening do not change.
is made in the vertical wall of the tank near its bottom surface at time t = 0, and at the same time the insect starts moving. Find the speed of the insect as a function of time so that it will be just visible at all times. Take the initial height of the liquid as calculated in part (i), while the position of the tank and that of the opening do not change.
Text Solution
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h = l
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