Physics Mechanical Properties of Fluids

Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is

A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of vessel is 5 cm and the angular speed of rotation is ω rads⁻¹. The difference in the height, h (in cm) of liquid at the centre of vessel and at the will be:

In an experiment to verify Stokes law, a small spherical ball of radius r and density ρ falls under gravity through a distance h in air before entering a tank of water. If the terminal velocity of the ball inside water is same as its velocity just before entering the water surface, then the value of h is proportional to: (ignore viscosity of air)

A leak proof cylinder of length $1\mathrm{m}$ $$ , made of a metal which has very low coefficient of expansion is floating vertically in water at $0^{?}\mathrm{C}$ ${}^{}$ such that its height above the water surface is $20\mathrm{c}\mathrm{m}$ $$ . When the temperature of water is increased to $4^{?}\mathrm{C}$ ${}^{}$ , the height of the cylinder above the water surface becomes $$ $21\mathrm{c}\mathrm{m}$ . The density of water at $\mathrm{T}=4^{?}\mathrm{C}$ ${}^{}$ , relative to the density at $\mathrm{T}=0^{?}\mathrm{C}$ ${}^{}$ is close to:

Consider a solid sphere of radius $R$ $$ and mass density $p\left(r\right)=p_0\left(1-\frac{r^2}{R^2}\right),0<r\le R$ ${}_{}\left(\frac{{}^{}}{{}^{}}\right)$ . The minimum density of a liquid in which it will float is

An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are $6.4\mathrm{c}\mathrm{m}$ and $4.8\mathrm{c}\mathrm{m}$ , respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is

The pressure acting on a submarine is3 x10⁵ Pa at a certain depth. If the depth is doubled, the percentage in the pressure acting on the submarine would be:

(Assume that atmospheric pressure is1x10⁵ Pa, density of water is10³kgm^-3 ,g = 10ms-² )

What will be the nature of flow of water form a circular tap, when its flow rate increased from 0.18L/min to 0.48L/min? The radius of the tap and viscosity of water are 0.5 cm and 10⁻³ Pa s, respectively. (Density of water: 10³ kg/m ³)

The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is made in one of the walls at a depth 'h' below the water level. The value of 'h' for which the emerging stream of water strikes the ground at the maximum range is _____ m.

A raindrop with radius R = 0.2 mm falls from a cloud at a height h = 2000 m above the ground. Assume that the drop is spherical through its fall and the force of buoyance may be neglected, then the terminal speed attained by the raindrop is :
[Density of water ρw = 1000 kg m⁻³, and Density of air ρa = 1.2 kg m⁻³, g = 10 m/s², Coefficient of viscosity of air η = 1.8 * 10⁻⁵ Nsm⁻²]