The number of particles crossing a unit area perpendicular to the $X$-axis in a unit time is given by $n$ $=-D\left(\frac{n_{2}-n_{1}}{x_{2}-x_{1}}\right)$, where $n_{1}$ and $n_{2}$ are the number of particles per unit volume at $x=x_{1}$ and $x=x_{2}$, respectively, and $D$ is…

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The number of particles crossing a unit area perpendicular to the $X$-axis in a unit time is given by $n$ $=-D\left(\frac{n_{2}-n_{1}}{x_{2}-x_{1}}\right)$, where $n_{1}$ and $n_{2}$ are the number of particles per unit volume at $x=x_{1}$ and $x=x_{2}$, respectively, and $D$ is the diffusion constant The dimensions of $D$ are

Aicharya · Accepted Answer

$n=-\frac{D\left(n_{2}-n_{1}\right)}{x_{2}-x_{1}} \Rightarrow T^{-1} L^{-2}=\frac{D\left(L^{-3}\right)}{L}$ $\Rightarrow \quad D=\frac{T^{-1} L^{-2} \times L}{L^{-3}} \Rightarrow D=\left[M^{0} L^{2} T^{-1}\right]$

The number of particles crossing a unit area perpendicular to the \(X\)-axis in a unit time is given by…

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