A liquid drop of mass $m$ and radius $r$ is falling from great height. Its velocity is proportional to ............
Medium
Download our app for free and get started
(a)
When a drop fall in air the terminal velocity of the drop is $V _0=\frac{ mg -\frac{4}{3} \pi r ^3 \rho g}{6 \pi \eta r }$ where $\rho$ is density of air $\eta$ is the viscosity of air From the above equation $V _0 \propto \frac{ m }{ r }$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The velocity of a small ball of mass $\mathrm{M}$ and density $d,$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $\frac{\mathrm{d}}{2}$, then the viscous force acting on the ball will be :View Solution
- 2Water is flowing with a velocity of $2\,m/s$ in a horizontal pipe where cross-sectional area is $2 \times 10^{-2}\, m^2$ at pressure $4 \times 10^4\, pascal$. The pressure at cross-section of area $0.01\, m^2$ in pascal will beView Solution
- 3A wide vessel with a small hole at the bottom is filled with two liquids. The density and heightof one liquid are $\rho_1$ and $h_1$ and that of the otherare $\rho_2$ and $h_2 \ (\rho_1 >\rho_2)$. The velocity of liquid coming out of the hole is :View Solution
- 4View SolutionThe property of a liquid by which it opposes the flow of itself is called ..........
- 5The pressure of water in a water pipe when tap is opened and closed is respectively $3 \times 10^5\,N/m^2$ and $3.5 \times 10^5\,N/m^2$ . With open tap, the velocity of water flowing is ........... $m/s$View Solution
- 6Under a constant pressure head, the rate of flow of liquid through a capillary tube is $V$. If the length of the capillary is doubled and the diameter of the bore is halved, the rate of flow would becomeView Solution
- 7A cylindrical vessel of cross-section $A$ contains water to a height $h$ . There is a hole in the bottom of radius $'a'$ . The time in which it will be emptied isView Solution
- 8Equal masses of water and a liquid of density $ 2$ are mixed together, then the mixture has a density of ........ $ g / cm^3$View Solution
- 9Two solids $A$ and $ B$ float in water. It is observed that $A$ floats with half its volume immersed and $B$ floats with $2/3$ of its volume immersed. Compare the densities of $A$ and $B$View Solution
- 10Assume that, the drag force on a football depends only on the density of the air, velocity of the ball and the cross-sectional area of the ball. Balls of different sizes but the same density are dropped in an air column. The terminal velocity reached by balls of masses $250 \,g$ and $125 \,g$ are in the ratioView Solution