A water drop whose radius is 0.0015 , mm is f | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) According to Stokes' law,the terminal velocity $v$ of a spherical drop falling through a viscous medium,when buoyancy is neglected,is given by the

Vedclass · Accepted Answer

$2.72 	imes 10^{-4} \, m/s$

Vedclass · Answer

(A) According to Stokes' law,the terminal velocity $v$ of a spherical drop falling through a viscous medium,when buoyancy is neglected,is given by the formula:$v = \frac{2}{9} \frac{r^2 ho g}{\eta}$Given values:Radius $r = 0.0015 \, mm = 1.5 	imes 10^{-6} \, m$Density of water $ho = 1.0 	imes 10^3 \, kg/m^3$Acceleration due to gravity $g = 9.8 \, m/s^2$Coefficient of viscosity $\eta = 1.8 	imes 10^{-5} \, kg/(m \cdot s)$Substituting these values into the formula:$v = \frac{2}{9} 	imes \frac{(1.5 	imes 10^{-6})^2 	imes (1.0 	imes 10^3) 	imes 9.8}{1.8 	imes 10^{-5}}$$v = \frac{2}{9} 	imes \frac{2.25 	imes 10^{-12} 	imes 10^3 	imes 9.8}{1.8 	imes 10^{-5}}$$v = \frac{2}{9} 	imes \frac{2.205 	imes 10^{-8}}{1.8 	imes 10^{-5}}$$v = \frac{2}{9} 	imes 1.225 	imes 10^{-3}$$v \approx 2.72 	imes 10^{-4} \, m/s$

$A$ water drop whose radius is $0.0015 \, mm$ is falling through the air. If the coefficient of viscosity of air is $1.8 \times 10^{-5} \, kg/(m \cdot s)$,then assuming the buoyancy force is negligible,the terminal velocity of the drop will be:

Similar Questions

The terminal velocity of a small sphere of radius $a$ in a viscous liquid is proportional to

$A$ ball rises to the surface at a constant velocity in a liquid whose density is $4$ times greater than that of the material of the ball. The ratio of the force of friction acting on the rising ball to its weight is

What will be the approximate terminal velocity of a rain drop of diameter $1.8 \times 10^{-3} \ m$, when density of rain water $\approx 10^{3} \ kg \ m^{-3}$ and the coefficient of viscosity of air $\approx 1.8 \times 10^{-5} \ N \ s \ m^{-2}$ (in $m \ s^{-1}$)? (Neglect buoyancy of air)

Which of the following graphs best represents the motion of a raindrop?

$A$ lead sphere of mass $m$ falls in a viscous liquid with terminal velocity $V_0$. Another lead sphere of mass $8m$ but of the same material will fall through the same liquid with terminal velocity:

Vedclass Test Series

Exam Paper Generator

Online Exam Module