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 number of particles per unit volume for the value of `x` meant to `x_(2)` and `x_(1)`. Find dimensions of `D` called as diffusion constant

Options

A. `[L^(2)T^(-1)]`
B. `[LT^(-2)]`
C. `[L^(2)T^(4)]`
D. `[LT^(-3)]`

Answer

a

Explanation

`N=-D ((n_(2)-n_(1)))/((x_(2)-x_(1)))`
`1/([L^(2)T])=D(1//[L^(3)])/([L])`
`D=[L^(2)T^(-1)]`