Turpentine oil is flowing through a tube of length `L` and radius `r`. The pressure difference between the two ends of the tube is `p` , the viscosity of the coil is given by `eta = (p (r^(2) - x^(2)))/(4 vL)`, where `v` is the velocity of oil at a distance `x` from the axis of the tube. From this relation, the dimensions of viscosity `eta` are

Options

A. `[M^(0) L^(0) T^(0)]`
B. `[MLT^(-1)]`
C. `[ML^(2) T^(-2)]`
D. `[ML^(-1) T^(-1)]`

Answer

D

Explanation

(4) `[eta] = ([ML^(-1) T^(-2)] [L^(2)])/([LT^(-1)][L^(2)]) = ML^(-1) T^(-1)`