An object is flowing through the liquid. The viscous damping force acting on it is proportional to the velocity.
Select the correct statement of the following.

Options

A. Dimension of constant of proportionality are `ML^(-2)T^(2)`
B. Dimension of constant of proportionality are `MLT^(-1)`
C. Dimension of constant of proportionality are `ML^(0)T^(-1)`
D. Dimension of constant of proportionality are `M^(0)LT^(-1)`

Answer

C

Explanation

Viscous force `prop` Velocity
`FpropvorF=Kv`
`[K]=([F])/([v])`
`=([MLT^(-2)])/([LT^(-1)])`
`=[ML^(0)T^(-1)]`