In the formula, `N=-D[(n_(2)-n_(1))/(x_(2)-x_(1))],` D - Diffusion coefficient, `n_(1) and_(2)` is number of molecules in unit volume along `x_(1) and x_(2)` which represents distances where N is number of molecules passing through per unit area per unit time. Calculate dimensions of D.

Explanation

By homogeneity theory of dimensions,
`"Dimensions of (N) = dimension of D "xx("dimension of "(n_(2)-n_(1)))/("dimension of "(x_(2)-x_(1)))`
`(1)/(L^(2)T)="dimensions of D"xx(L^(-3))/(L)`
`"Dimensions of D"=(L)/(L^(-3)xxL^(2)T)=(L^(2))/(T)`
`=[M^(0)L^(2)T^(-1)]`