Which is the fundamental unit that has the same power in the dimensional formulae of surface tension and coefficient of vicosity ?

Options

A. Temperature
B. Time
C. Length
D. Mass

Answer

D

Explanation

` [T] = [F/L]= [(M^(1)L^(1)T^(-2))/(L^(1))] =[ M^(1)L^(0)T^(-2)] `
and F = `eta A (dv)/(dx) " " :. eta = (Fdx)/(Adv)`
` :. [ eta] = [ (M^(1)L^(1)T^(-2)xxL^(1)T^(1))/(L^(1)xxL^(1)xxL^(1))]`
` = [M^(1)L^(-1)T^(-1)]`
Thus mass has the same power in both dimensional formulae .