Mechanical Properties of Fluids

Water flows through a horizontal tube as shown. If the difference of heights of water column in the vertical tubes is $h = 2\ \text{cm}$, and the areas of cross section at A and B are $4\ \text{cm}^2$ and $2\…

An ideal fluid flows in a non-uniform cross-sectional tube AB as shown in the figure. If $A_1$ and $A_2$ is the area of cross-section and $E_1$ and $E_2$ is the kinetic energy per unit volume of the fluid at A and B,…

The atmospheric pressure on the surface of the fluid is $P_0$ . The depth $h$ at which pressure is $n$ times the atmospheric pressure is

A cube floats in water with $\left(\dfrac{1}{3} \right)^{th}$ part outside the surface of water. The same cube floats in another liquid with $\left(\dfrac{3}{4} \right)^{th}$ part outside the liquid. If the density of…

In a capillary tube of radius $r$, water rises to a height $10\ \text{cm}$ on Earth. If the apparatus is taken to the Moon $(g_{moon} = g/6)$ and the tube is replaced with one having double the radius $(2r)$, the water…

The pressure at the bottom of a water tank is NOT proportional to

The cylindrical tube of a spray pump has radius 'R', one end of which has 'n' fine holes, each of radius 'r'. If the speed of the liquid in the tube is 'V' and speed of ejection of the liquid through the holes is…

Two capillary tubes of radii $r_1 = 0.3$ cm and $r_2 = 0.6$ cm are dipped in the same liquid. The ratio of heights through which the liquid will rise in the tubes $\left(\dfrac{h_1}{h_2}\right)$ is

In a capillary tube having the cross-sectional area 'A', the water rises to a height $'h_1'$. If the cross-sectional area is reduced by 'A/25', the rise of water in capillary is $'h_2'$. If $h_2 = x\,h_1$, the value of…

A speed of wind over the wings of a small aeroplane is $70$ m/s and below the wings is $60$ m/s. If the mass of the aeroplane is $1000$ kg and the area of wing is $14\ \text{m}^2$, then the net vertical force on the…

The pressure at the surface of mercury in a barometer tube is $P_1$ and the pressure at the surface of mercury filled in a conical flask is $P_2$. The ratio of $\dfrac{P_1}{P_2}$ is

If the soluble impurity is added to a solvent, then the angle of contact