The velocity fo a spherical ball through a visocous liquid is given by `v = v_(0) (1- e^(kt))`, where `v_(0)` is the initial velocity and `t` represents time. If `K` depends on radius of ball `(r)`, coefficient of viscosity `(eta)` and mass fo the ball `(m)`, tehn

Options

A. `k = mr//eta`
B. `k = eta m//r`
C. `k = r eta//m`
D. `k = mr eta`

Answer

C

Explanation

`k alpha r^(a) eta^(v) m^(c), T^(-1) alpha L^(a) [M^(-1) T^(-1)]^(b) M^(c)`