Fluid Mechanics — JEE Main PYQs

A ball is made of a material of density $\rho$ where ${\rho }_{\text{oil}}<\rho <{\rho }_{\text{water}}$ with ${\rho }_{\text{oil}}$ and ${\rho }_{\text{water}}$ representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in …

A spherical solid ball of volume V is made of a material of density ${\rho }_1$. It is falling through a liquid of density ${\rho }_2\left({\rho }_2<{\rho }_1\right)$. Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed $v$ …

A jar filled with two non mixing liquids 1 and 2 having densities ${\rho }_1$ and ${\rho }_2$ respectively. A solid ball, made of a material of density ${\rho }_3$, is dropped in the jar. It comes to equilibrium in the position shown in the figure.
Which of the following is tr …

A capillary tube (A) is dropped in water. Another identical tube (B) is dipped in a soap water solution. Which of the following shows the relative nature of the liquid columns in the two tubes?

If the terminal speed of a sphere of gold (density $=19.5\times 10^{3}kg/{\mathrm{m}}^3$) is $0.2m/s$ in a viscous liquid (density $=1.5\times 10^{3}kg/{\mathrm{m}}^3$), then the terminal speed of a sphere of silver (density $=10.5\times 10^{3}kg/{\mathrm{m}}^3$) of …

A 20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If the entire arrangement is put in a freely falling elevator the length of water column in the capillary tube will be

Which one of the following represents the correct dimensions of the coefficient of viscosity?

Spherical balls of radius $R$ are falling in a viscous fluid of viscosity $\eta$ with a velocity $v$. The retarding viscous force acting on the spherical ball is

If two soap bubbles of different radii are connected by a tube,