Question

An expression of phisical quantity is written as X=√T/m where T is the applied force and m is t
he mass per unit lenght.Find the dimenional representation of X and identify the physical quantity.

Answer 1

m = mass/length

m = [M][L]^-1

And x = T/m

Then dimensional formula of x is  

x = [M][L][T]^-2/[M][L]-1

x = [L]^2/[T]^2

x=[L]/[T]