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 :

Step-by-step solution

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 sh