Kinematic viscosity is defined as the ratio of ability to diffuse a disturbance in momentum to ability of sustaining the original momentum.
Mathematically,
Kinematic viscosity (ν) = Dynamic viscosity (μ) / Density (ρ).
Dimensional Formula of Dynamic viscosity = M1L-1T-1
Dimensional Formula of Density = M1L-3T0
Putting these values in above equation we get,
Dimensional Formula of Kinematic viscosity = M0L2T-1
SI unit of Kinematic viscosity is m2s-1