The number of particles is given by `n = -D(n_(2) - n_(1))/( x_(2) - x_(1))` crossing a unit area perpendicular to X - axis in unit time , where `n_(1)and n_(2)` are particles per unit volume for the value of `x` meant to `x_(2) and x_(1)` . Find the dimensions of `D` called diffusion constant.

Options

A. `M^(0) LT`
B. `ML^(2) T^(-4)`
C. `M^(0) L^(2) T^(-2)`
D. `M^(0) LT^(-1)`

Answer

C

Explanation

(3) `LHS` dimensions : `L^(-2) T^(-1)`
`RHS` dimension : `(D [L^(-3)])/([L]) = D [L^(-4)]`
`D [L^(-4)] = [L^(-2) T^(-1)]`
`[D] = M^(0) L^(2) T^(-1)`