Embibe Experts Solutions for Exercise 4: Assignment

The work done in blowing a soap bubble of $10 \mathrm{cm}$ radius is (surface tension of soap solution is $0.03 \mathrm{N} {\mathrm{m}}^{-1}$)

Water rises to a height of, $10 \mathrm{cm}$ in a capillary tube and mercury falls to a depth of, $3.42 \mathrm{cm}$ in the same capillary tube. If the density of mercury, $13.6 \mathrm{kg} {\mathrm{m}}^{-3}$ is and the angle of contact is $135°$, the ratio of surface tension for water and mercury is (angle of contact for water and glass is $0°$).

A spherical drop of water has $1 \mathrm{mm}$ radius. If the surface tension of water is $75\times {10}^{-3} \mathrm{N} {\mathrm{m}}^{-1},$ then the difference of pressure between inside and outside of the drop is

A capillary tube is dipped in water and it is $20 \mathrm{cm}$ outside water. The water rises upto $8 \mathrm{cm}.$ If the entire arrangement is put in freely falling elevator the length of water column in the capillary tube will be

There is small hole in a hollow sphere. The water enters in it when it is taken to a depth of $40 \mathrm{cm}$ under water. The surface tension of water is $0.07 \mathrm{N} {\mathrm{m}}^{-1}.$ The diameter of hole is

Two soap bubbles having radii $3 \mathrm{cm}$ and $4 \mathrm{cm}$ in vacuum, coalesce under isothermal conditions. The radius of the new bubble is

A massless inextensible string in the form of a loop is placed on a horizontal film of soap solution of surface tension $S$. If film is pierced inside the loop and it convert into a circular loop of diameter $d,$ then the tension produced in string is

A vessel containing a liquid has a constant acceleration $19.6 \mathrm{m} {\mathrm{s}}^{-2}$ in horizontal direction. The free surface of water get sloped with horizontal at angle