B M Sharma Solutions for Chapter: Properties of Matter, Exercise 4: DPP 5.4

If for a liquid in a vessel, the force of cohesion is twice that of adhesion,

If the surface of a liquid is plane, then what is the angle of contact of the liquid with the walls of container?

In a capillary tube, the water rises by $1.2 \mathrm{mm}$. Calculate the height of the water that will rise in another capillary tube, having half the radius of the first.

A capillary tube of radius $r$ is dipped in a liquid of density $\rho$ and surface tension $S$. If the angle of contact is $\theta$, calculate the pressure difference between the two surfaces in the beaker and the capillary.

Two soap bubbles of radii $r_1$and $r_2$, equal to $4 \mathrm{cm}$and $5 \mathrm{cm}$, are touching each other over a common surface $S_{1, }{S}_2$(shown in the figure in the figure). Find the radius of common surface.

A capillary tube of radius $R$ is immersed in water and the water rises in it to a height $H$. Mass of the water in the capillary tube is $M$. If the radius of the tube is doubled, calculate the mass of water that will rise in the capillary tube.

Two capillary tubes of the same diameter are put vertically, one each, in two liquids whose relative densities are $0.8$ and $0.6$ and surface tensions are $60 \mathrm{dyne} {\mathrm{cm}}^{-1}$ and $50 \mathrm{dyne} {\mathrm{cm}}^{-1}$,  respectively. Calculate the ratio of heights of liquids in the two tubes $\frac{h_1}{h_2}$.

If the excess pressure inside a soap bubble is balanced by oil column of height $2 \mathrm{mm}$, then calculate the surface tension of soap solution. ($r=1 \mathrm{cm}$ and density $d=0.8 \mathrm{gm} {\mathrm{cm}}^{-3}$)