Which one of the following represents the correct dimensions of the coefficient of viscosity?

Options

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

Answer

d

Explanation

`F=etaA(dV)/(dx) therefore eta=(Fdx)/(AdV)`
`therefore [eta]=[(L^(1)M^(1)T^(-2)xxL^(1))/(L^(2)L^(1)T^(-1))]=[M^(1)L^(-1)T^(-1)]`