Embibe Experts Solutions for Chapter: Fluid Mechanics, Exercise 1: KEAM 2020

The density of kerosene is $800\mathrm{kg} {\mathrm{m}}^{-3}$. Its relative density is

The dimensions for pressure is

In a water container, an aluminium piece of volume $0.5{ \mathrm{m}}^3$ is lowered through an external force, until it is completely submerged. In another identical water container, a lead piece of same volume was similarly submerged using the same amount of external force. The mass density of lead is $4$ times larger than the mass density of the aluminium. If $F_A$ and $F_L$ are the buoyancy forces acting on aluminum and lead respectively, then which of the following statement is correct ?

A body $P$ floats in water with half its volume immersed. Another body $Q$ floats in a liquid of density $\frac{3}{4}th$ of the density of water with two-third of the volume immersed. The ratio of density of $P$ to that of $Q$ is

Water flows through a horizontal pipe of diameter $2\mathrm{cm}$ at a speed of $3\mathrm{cm} {\mathrm{s}}^{-1}$. The pipe has a nozzle of diameter $0.5\mathrm{cm}$ at its end. The speed of water emerging from the nozzle is

Water flows steadily through a horizontal pipe of a variable cross-section. If the pressure of the water is $p$ at a point, where the speed of the flow is $v$ , what is the pressure at another point, where the speed of the flow is $2v$? Let the density of water be $1 \mathrm{g} {\mathrm{cm}}^{-3}$.