In the experiment for measurement of viscosit | vedclass

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(B) The terminal velocity $V_T$ of a spherical ball of radius $R$ and density $d$ falling through a liquid of density $\rho$ and viscosity $\eta$ is g

Vedclass · Accepted Answer

$A, C$ and $D$ only

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(B) The terminal velocity $V_T$ of a spherical ball of radius $R$ and density $d$ falling through a liquid of density $\rho$ and viscosity $\eta$ is given by $V_T = \frac{2}{9} R^2 \frac{g}{\eta} (d - \rho)$.Statement $A$ is correct because $V_T \propto R^2$,which represents a parabola.Statement $B$ is incorrect because $V_T$ depends on $R^2$; thus,different diameters result in different terminal velocities.Statement $C$ is correct because viscosity $\eta$ is highly temperature-dependent.Statement $D$ is correct because by measuring $V_T$ and knowing $\eta$,one can determine the density $\rho$ of the liquid.Statement $E$ is incorrect because $\eta$ is a property of the fluid and does not change based on the initial speed of the ball.Therefore,statements $A, C,$ and $D$ are correct.

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