Mechanical Properties of Fluids

A capillary tube of radius $r$ is immersed in water and water rises in it to a height $h$. The mass of the water in the capillary is $5g$. Another capillary tube of radius $2r$ is immersed in water. The mass of water…

A rectangular film of liquid is extended from $(4\mathrm{}\mathrm{cm}\times\,2\mathrm{}\mathrm{cm})$ to $(5\mathrm{}\mathrm{cm}\times\,4\mathrm{}\mathrm{cm})$. If the work done is $3\times\,10^{-4}J$, the value of the…

Assume that a drop of a liquid evaporates by a decrease in its surface energy so that its temperature remains unchanged. The minimum radius of the drop for this to be possible is. (The surface tension is $T$, the…

A drop of liquid of density $\rho\,$is floating half immersed in a liquid of density $\sigma\,$and surface tension $7.5\times\,10^{-4}N\mathrm{cm}^{-1}$. The radius of drop in $\mathrm{cm}$will be : (Take :…

Consider a cylindrical tank of radius $1 m$ is filled with water. The top surface of water is at $15 m$ from the bottom of the cylinder. There is a hole on the wall of cylinder at a height of $5 m$ from the bottom. A…

A square hole of side length $\ell$ is made at a depth of $\mathrm{h}$ and a circular hole of radius $\mathrm{r}$ is made at a depth of $4 \mathrm{~h}$ from the surface of water in a water tank kept on a horizontal…

Surface tension of a soap bubble is $2.0\times\,10^{-2}Nm^{-1}$ . Work done to increase the radius of soap bubble from $3.5\mathrm{cm}$ to $7\mathrm{cm}$ will be : [Take $\pi\,=\frac{22}{7}$ ]

There is a circular tube in a vertical plane. Two liquids which do not mix and of densities d1 and d2 are filled in the tube. Each liquid subtends 90o angle at centre. Radius joining their interface makes an angle…

On heating water, bubbles being formed at the bottom of the vessel detatch and rise. Take the bubbles to be spheres of radius R and making a circular contact of radius r with the bottom of the vessel. If r << R, and the…

A small spherical droplet of density $d$ is floating exactly half immersed in a liquid of density $\rho\,$ and surface tension $T.$ The radius of the droplet is (take note that the surface tension applies an upward…

The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross-section. Cross-sectional areas at$A$is $1.5\mathrm{cm}^{2},$and $B$ is $25\mathrm{mm}^{2},$ if the speed of liquid at $B$…

Two narrow bores of diameter $5.0\mathrm{mm}$ and $8.0\mathrm{mm}$ are joined together to form a $U-$shaped tube open at both ends. If this $U-$tube contains water, what is the difference in the level of two limbs of…