For a constant hydraulic stress on an object, the fractional change in the object’s volume $(\Delta V/V)$ and its bulk modulus $(B)$ are related as
$\frac{{\Delta V}}{V} \propto B$
$\frac{{\Delta V}}{V} \propto \frac{1}{B}$
$\frac{{\Delta V}}{V} \propto B^2$
$\frac{{\Delta V}}{V} \propto B^{-2}$
The terminal velocity of a small sized spherical body of radius $r$ falling vertically in a viscous liquid is given by the proportionality
The area of cross section of the wides tube shown in the figure is $800\,cm^2$. If a mass of $12\,kg$ is placed on the massless piston, the difference in the heights $h$ in the level of water in two tubes ........ $m$
If the terminal speed of a sphere of gold (density $= 19.5\, kg/m^3$ ) is $0.2\, m/s$ in a viscous liquid (density $= 1.5\, kg/m^3$ ), find the terminal speed of a sphere of silver (density $=10.5\, kg/m^3$ ) of the same size in the same liquid ........ $m/s$
A liquid is kept in a cylindrical vessel which is being rotated about a vertical axis through the centre of the circular base. If the radius of the vessel is $r$ and angular velocity of rotation is $\omega $ , then the difference in the heights of the liquid at the centre of the vessel and the edge is
A wooden cube first floats inside water when a $200\,g$ mass is placed on it. When the mass is removed the cube is $2\,cm$ above water level. The side of cube is ......... $cm$