Surface Energy and Surface Tension — Prelims Questions

A liquid drop of radius $R$ is broken into 64 identical smaller drops. If the surface tension of the liquid is $\gamma$, the work done in this process is:

Water rises to a height $h$ in a capillary tube. If the radius of the capillary tube is halved, the height to which water will rise will be:

The excess pressure inside a soap bubble of radius $R$ is proportional to:

Which of the following statements is INCORRECT regarding surface tension?

Two soap bubbles of radii $r_1$ and $r_2$ ($r_1 > r_2$) are in communication with each other through a narrow tube. Which of the following statements is true?

A square wire frame of side $L$ is dipped in a liquid. The frame is pulled out, and a liquid film is formed. If the surface tension of the liquid is $\gamma$, the force required to hold the frame in equilibrium is: