Question

definition of dimensional variable with examples .

Answer 1

Dimensional variables are those physical quantities which have dimensions of the form [M^a L^b T^c]…

{where,M,L,T are fundamental physical quantities which are Mass,Length and Time respectively. And a,b,c are any real numbers}

…but are variables.

For example

Force is a dimensionl variable as it has a dimensions of 1,1,-2 for mass,length and time respectively. {i.e,[M^1 L^1 T^-2]}. But it is a variable as the garvitional force between earth and the sun is different than the moon and the earth

Another example would be mass.