Embibe Experts Solutions for Chapter: Viscosity and Surface Tension, Exercise 6: Exercise (Analytical Questions)

If a ball of steel (density $\rho =7.8 \mathrm{g} {\mathrm{cm}}^{-3}$) attains a terminal velocity of $10 \mathrm{cm} {\mathrm{s}}^{-1}$ when falling in a tank of water (coefficient of viscosity, ${\eta }_{\mathrm{water}}=8.5\times {10}^{-4} \mathrm{Pa} \mathrm{s}$), then its terminal velocity in glycerine ($\rho =1.2 \mathrm{g} {\mathrm{cm}}^{-3}$, $\eta =13.2 \mathrm{Pa} \mathrm{s}$) would be nearly,

A glass tube of uniform internal radius $\left(r\right)$ has a valve separating the two identical ends. Initially, the valve is in a tightly closed position.

End $1$ has a hemispherical soap bubble of radius $r$. End $2$ has sub-hemispherical soap bubble as shown in figure. Just after opening the valve,

When a large bubble rises from the bottom of a lake to the surface, its radius doubles. If atmospheric pressure is equal to that of column of water height H, then the depth of lake is 

The terminal speed attained by an aluminium sphere of radius $1 \mathrm{mm}$ falling through water at $20°\mathrm{C}$ will be close to (assume laminar flow, specific gravity of $\mathrm{Al}=2.7$ and ${\eta }_{\mathrm{water}}=8.4\times {10}^{-4} \mathrm{Pl}$),

If the difference between pressure inside and outside a soap bubble is $6 \mathrm{mm}$ of water and its radius is $8 \mathrm{mm}$, what is the surface tension in $\mathrm{dynes} \mathrm{per} \mathrm{cm}$?

An air bubble is lying just below the surface of water. The surface tension of water is $70\times {10}^{-3} \mathrm{N} {\mathrm{m}}^{-1}$ and atmospheric pressure is $1.013\times {10}^5 \mathrm{N} {\mathrm{m}}^{-2}$. If the radius of bubble is $1 \mathrm{mm}$, then the pressure inside the bubble will be,

Which one of the following will make its way most easily through the tiny space between the fibre of the clothing?

The diameters of two limbs of a U-tube are $2 \mathrm{mm}$ and $5 \mathrm{mm}$ and surface tension is $70 \mathrm{dyne} {\mathrm{cm}}^{-1}$. If the density of water is $1000 \mathrm{kg} {\mathrm{m}}^{-3}$ and $g=10 \mathrm{m} {\mathrm{s}}^{-2}$, then water level difference in both the tubes will be,