Surface Energy

A large tank is filled with two liquids of specific gravities $\text{2}\text{σ}$ and $\text{σ}$. Two holes are made on the wall of the tank as shown. Find the ratio of the distances from $O$ of the points on the ground where the jets from holes $A \mathrm{and} B$ strike.​

Two arms of a U-tube have unequal diameters $d_1=1.0 \mathrm{mm}$ and $d_2=1.0 \mathrm{cm}$. If water (surface tension $7\times {10}^{-2} \mathrm{N}/\mathrm{m}$) is poured into the tube held in the vertical position, find the difference in the level of water in the U-tube. Assume the angle of contact to be zero.

The volume of an air bubble is doubled as it rises from the bottom of a lake to its surface. If the atmospheric pressure is H m of mercury & the density of mercury is n times that of lake water. Find the depth of the lake

Pressure inside two soap bubbles are 1.01 and 1.02 atmospheres. Ratio between their volumes is

The excess pressure inside an air bubble of radius r just below the surface of water is ​$P_1$ . The pressure inside a drop of the same radius just outside the surface is $P_2$ . If T is surface tension then

If the radius of a soap bubble is four times that of another,then the ratio of their excess pressures will be

A drop of mercury of radius 2mm is split into 8 identical droplets. Find the increase in surface energy.( Surface tension of mercury is 0.465 J/m² )

Two small drops of mercury, each of radius R, coalesce to form a single large drop. The ratio of the total surface energies before and after the change is

Assume that a drop of liquid evaporates by decreasing in its surface energy, so that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible ? The surface tension is $T$, density of liquid is $\rho$ and $L$ is its latent heat of vaporization.

A certain number of spherical drops of a liquid of radius $‘r\text{'}$ coalesce to form a single drop of radius $‘R\text{'}$ and volume $‘V\text{'}.$ If $‘T\text{'}$ is the surface tension of the liquid then:

If the excess pressure inside a soap bubble is balanced by oil column of height $2 \mathrm{mm}$, then the surface tension of soap solution will be $(r=1 \mathrm{c}\mathrm{m}\mathrm{ }\mathrm{a}\mathrm{n}\mathrm{d}\mathrm{ }\mathrm{d}\mathrm{e}\mathrm{n}\mathrm{s}\mathrm{i}\mathrm{t}\mathrm{y}\mathrm{ }d=0.8 \mathrm{g}\mathrm{ }{\mathrm{c}\mathrm{c}}^{-1})\mathrm{, }$ $g=10 {\text{m s}}^{-2}$

What should be the pressure inside a small air bubble of $0.1 \mathrm{mm}$ radius situated just below the surface of water? Surface tension of water $=72\times {10}^{-3}$ N/m and atmospheric pressure $=1.013\times {10}^5\frac{N}{m^2}$ .

The surface tension of soap solution is $0.03 {\mathrm{N}\mathrm{m}}^{-1 }$. The work done in blowing to from a soap bubble of surface area $40 {\mathrm{c}\mathrm{m}}^2,\left(\mathrm{i}\mathrm{n}\mathrm{ }\mathrm{J}\right),\mathrm{ }\mathrm{i}\mathrm{s}$

When a number of small droplets combine to form a large drop, then

Two droplets coalesce in a single drop. In this process _____.

The excess pressure inside a soap bubble is twice the excess pressure inside a second soap bubble. The volume of the first bubble is $n$ times the volume of the second where $n$ is

A small air bubble of radius $r$ is found to be formed at a depth of $H$ from open surface of liquid contained in a beaker. If $T$ is surface tension, $\rho$ is density of the liquid and $p_0$ is atmospheric pressure then pressure inside the bubble is ($r=$ radius of bubble)

The radius of a soap bubble is increased from $\frac{1}{\sqrt{\pi }} \mathrm{cm}$ to $\frac{2}{\sqrt{\pi }} \mathrm{cm}.$ If the surface tension of water is $30$ dynes per $\mathrm{cm}$, then the work done will be

If the work done in blowing a soap bubble of volume $V$ is $W,$ then the work done in blowing a soap bubble of volume $2 \mathrm{V}$ will be :

Several spherical drops of a liquid each of radius $r$ coalesce to form a single drop of radius $R$. If $T$ is the surface tension, then the energy liberated will be: