Fluid MechanicsMedium
Question
In the measurement of viscosity of liquids using terminal velocity experiment, spherical balls of same radius but having different densities are used. The variation of the terminal velocity $(v)$ with the ratio of density of spherical ball $(\sigma)$ to density of the liquid ( $\rho$ ), is best represented by:
Options
A.
B.
C.
D.
Solution
Sol. [Key Concept: Terminal velocity and Stokes' law for viscosity]
Terminal velocity $V_{T} = \frac{2r^{2}}{9h}(\sigma - \rho)$
$$\begin{array}{r} V_{T} = \frac{2r^{2}}{9h}\rho\left( \frac{\sigma}{\rho} - 1 \right)\#(I) \\ y = mx + c\#(II) \end{array}$$
Equation number (I) is like equation number which is straight line with negative intercept.
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