A cylindrical tank of height $1$ $m$ and cross section area $A$ $=$ $4000$ $cm^2$ is initially empty when it is kept under a tap of cross sectional area $1$ $cm^2$. Water starts flowing from the tap at $t$ $=$ $0$, with a speed $= $ $2$ $m/s$. There is a small hole in the base of the tank of cross-sectional area $0.5$ $cm^2$. The variation of height of water in tank (in meters) with time $t$ is best depicted by
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We know the velocity of the water from the tap and the cross$-$sectional area of the tank. There is a rise in water level and as the water level rises the velocity of efflux through the bottom hole also increases.
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