A body totally immersed in water is raised in the water by a height $h.$ The density of the body is $d$ and the density of water is $d_0$, while the volume of the body is$V$and $d>d_0.$ Which of the given statements will be true?

A vessel with water is placed on a weighing pan and it reads $600 \mathrm{g}$. Now a ball of $40 \mathrm{g}$ and density$0.80 \mathrm{g} {\mathrm{cc}}^{-1}$ is sunk into the water with a pin of negligible volume as shown in the figure, keeping it sunk. What will be the reading of weighing pan? 

An ideal liquid in a tube of uniform cross-sectional area $A_1=0.01{\mathrm{m}}^2$ flows with a speed  $v_1=2\mathrm{ }\mathrm{m} {\mathrm{s}}^{-1}$. At junction 1, the streamlines of the liquid divide into two parts, part of the liquid flux (liquid) moves in a tube of uniform cross-sectional area $A_2=0.02 {\mathrm{m}}^2$ with a velocity $v_2=3 \mathrm{m} {\mathrm{s}}^{-1}$. Find the velocity of liquid in the other branch of uniform cross-sectional area $A_3=0.03 {\mathrm{m}}^2.$

A liquid moves in a smooth tube of uniform cross-section. Find the pressure $P_2$ at point $2$ of the tube if the pressure at point$1$of the extended tube is $P_1$ and the vertical distance between points $1$ and$2$ is h.

Describe the "principle of aerodynamic lift". Derive the expression for aerodynamic lift on any object of arbitrary shape and size.