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Q. The no of ...

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Q. The no of particles crossing a unit area perpendicular to x-axis in a unit time is given by N=-D n2-n1/x2-x1 where n1 n2 are no of particles pre unit time, x is the distance. Find the dimension of diffusion constant 'D'

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Solution

$n = - D (\frac{n_{2} - n_{1}}{x_{2} - x_{1}}) D = - n (\frac{x_{2} - x_{1}}{n_{2} - n_{1}})$

Dimension of n=number/area/time =L^-2T^-1
Dimension of n₁,n₂=number/volume = L^-3
Dimension of x₁ - x₂₌difference between two position =L
$D = \frac{(L^{- 2} T^{- 1}) (L)}{L^{- 3}} = L^{2} T^{- 1}$

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