A copper ball of radius r travels with a unif | vedclass

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

Question

(C) According to Stokes' Law,the terminal velocity $v_T$ of a spherical body falling through a viscous fluid is given by the formula:$v_T = \frac{2}{9

Vedclass · Accepted Answer

$4v$

Vedclass · Answer

(C) According to Stokes' Law,the terminal velocity $v_T$ of a spherical body falling through a viscous fluid is given by the formula:$v_T = \frac{2}{9} \frac{r^2 (\rho - \sigma) g}{\eta}$Where $r$ is the radius of the sphere,$\rho$ is the density of the sphere,$\sigma$ is the density of the fluid,$g$ is the acceleration due to gravity,and $\eta$ is the coefficient of viscosity.From this relation,we can see that $v_T \propto r^2$.Given the initial radius is $r$ and the initial speed is $v$,we have $v \propto r^2$.When the radius is changed to $2r$,the new terminal velocity $v'$ will be:$v' \propto (2r)^2 = 4r^2$Therefore,$v' = 4v$.

$A$ copper ball of radius $r$ travels with a uniform speed $v$ in a viscous fluid. If the ball is changed with another ball of radius $2r$,then the new uniform speed will be

Similar Questions

Two raindrops reach the earth with different terminal velocities having the ratio $9: 4$. The ratio of their volumes is

If the terminal velocity of a metal sphere of mass $8 \ g$ falling through a liquid is $3 \ cm s^{-1}$, then the terminal velocity of another sphere of mass $64 \ g$ made of the same metal falling through the same liquid is (in $cm s^{-1}$)

The terminal velocity of a sphere of radius $3 \ mm$ falling in a viscous liquid is $10 \ cm/s$. The terminal velocity of a ball of radius $6 \ mm$ of the same material falling in the same liquid will be $...... \ cm/s$.

$A$ metal sphere of mass $m$ and density $\sigma_1$ falls with terminal velocity through a container containing liquid. The density of the liquid is $\sigma_2$. The viscous force acting on the sphere is:

$A$ 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