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 ( ) to density of the liquid ( ), is best represented by :
B.
The terminal velocity v of a spherical ball of radius r and density falling through a liquid of density and viscosity is given by Stokes' law: v = 2r^2g 9 ( - ) Rearranging the terms to express v as a function of the ratio : v = 2r^2g 9 ( - 1 ) Let y = v and x = . The equation becomes: y = k(x - 1) where k = 2r^2g 9 is a positive constant. This represents the equation of a straight line with a positive slope k and an x-intercept at x = 1 (i.e., v = 0 when = 1). Looking at the given graphs, only the second graph shows a straight line with a positive slope that intersects the horizontal axis at = 1. Answer:
Related: Physics — Mechanical Properties of Fluids · All PYQ Banks