Mechanical Properties of Fluids

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

Eight equal drops of water are falling through air with a steady speed of $10 \mathrm{~cm} / \mathrm{s}$. If the drops coalesce, the new velocity is:

If 1000 droplets of water of surface tension 0.07 $\mathrm{N} / \mathrm{m}$. having same radius $1 \mathrm{~mm}$ each, combine to from a single drop. In the process the released surface energy is(Take…

A capillary tube is attached horizontally to a constant heat arrangement. If the radius of the capillary tube is increased by $25 \%$, then the rate of flow of liquid will change nearly by

A spherical drop of radius $R$ is divided into eight equal droplets. If surface tension is $\mathrm{T}$, then the work done in this process is

Two separate soap bubbles of radii $3×{10}^{-3} m$ and $2×{10}^{-3} m$ respectively, formed of same liquid (surface tension $65×{10}^{-2} N {m}^{-1}$) come together to form a double bubble. The radius of interface of…

If a drop of liquid breaks into smaller droplets, it results in lowering of temperature of the droplets. Let a drop of radius $R$, break into $N$ small droplets each of radius $r$, then decrease (drop) in temperature…

A block of wood floats in water with $(4/5{)}^{\text{th} }$ of its volume submerged. If the same block just floate in a liquid, the density of liquid in $(\text{kg} {m}^{-3})$ is

Work done in increasing the size of a soap bubble from radius of ($3$ to $5$) $\text{cm}$ is nearly (surface tension of soap solution $=0\cdot 03 {\text{Nm} }^{-1}$)

An ice-berg of density $900 {\text{kgm} }^{-3}$ is floating in water of density $1000 {\text{kgm} }^{-3}$. The percentage of volume of ice-berg outside the water is

A capillary tube of radius $\mathrm{r}$ is immersed vertically in a liquid such that liquid rises in it to height $\mathrm{h}$ (less than the length of the tube). Mass of liquid in the capillary tube is $\mathrm{m}$. If…

The approximate depth of an ocean is $2700 \mathrm{~m}$. The compressibility of water is $45.4 \times 10^{-11} \mathrm{~Pa}^{-1}$ and density of water is $10^{3} \mathrm{~kg} / \mathrm{m}^{3}$. What fractional…