EXERCISES

Explain surface tension and surface energy.

Explain how surface tension can be measure experimentally.

State Bernoulli's principle. From the conservation of energy in a fluids flow through a tube, arrive at Bernoulli's equation. Give an application of Bernoulli's theorem.

Define coefficient of viscosity. Explain stokes' law and explain the conditions under which a raindrop attains terminal velocity $v_t$. Give the expression for $v_t$. 

Find the depression of the meniscus in the capillary tube of diameter $0.4\mathrm{mm}$ dipped in a beaker containing mercury. (Density of mercury$=13.6\times {10}^3 \mathrm{kg}/{\mathrm{m}}^3$ and surface tension $=0.49{\mathrm{Nm}}^{-1}$ and angle of contact$=135°$)

If the diameter of a soap bubbles $10 \mathrm{mm}$ and its surface tension is $0.04 \mathrm{N}/\mathrm{m}$. Find the excess pressure inside the bubbles.

If work done by an agent to form a bubble of radius $R$ is $W$, then how much energy is required to increases its radius to $2R$.

If two soap bubbles of radii $R_1 \mathrm{and} R_2$ (in vacuum) coalesce under isothermal conditions. What is the radius of the new bubble? Take $T$ as the surface tension of soap solution.