Physics Mechanical Properties of Fluids

The velocity of a small ball of mass $M$ and density $d$ , when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $\frac{d}{2}$ , then the viscous force acting on 2 the ball will be:

If a soap bubble expands, the pressure inside the bubble :

A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball $\left(v\right)$ $$ as a function of time $\left(t\right)$ $$ is :

The venturi-meter works on:

The amount of energy required to form a bubble of radius $2\mathrm{c}\mathrm{m}$ from a soap solution is nearly: (surface tension of soap solution $=0.03\mathrm{N}{\mathrm{m}}^{-1}$  )

Consider a water tank as shown in the figure. It's cross-sectional area is 0.4 m². The tank has an opening B near the bottom whose cross-sectional area is 1cm². A load of 24 kg is applied on the water at the top when the height of the water level is 40 cm above the bottom, the velocity of water coming out the opening B is v ms^-1.

The value of v, to the nearest integer, is.
[Take value of g to be 10 ms^-2]

When two soap bubbles of radii a and b (b > a) coalesce, the radius of curvature of common surface is:

A cube of metal is subjected to a hydrostatic pressure 4GPa. The percentage change in the length of the side of the cube is close to: (Given bulk modulus of metal, B = 8 * 10¹⁰ Pa)

A fluid is flowing through a horizontal pipe of varying cross-section, with speed v ms⁻¹ at a point where the pressure is P Pascal. At another point where pressure is P/2 Pascal its speed is V ms⁻¹. If the density of the fluid is ρ kgm⁻³ and the flow is streamline, then V is equal to:

Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the base of both vessels is S but the height of liquid in one vessel is x1 and in the other, x2. When both cylinders are connected through a pipe of negligible volume very close to the bottom, the liquid flows from one vessel to the other until it comes to equilibrium at a new height. The change in energy of the system in the process is :