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Question

Number of particles is given by n=Dn2n1x2x2 crossing a unit area perpendicular to X-axis in unit time, where n1 and n2 are number of particles per unit volume for the value of x meant to x2 and x1. Find dimensions of D called as diffusion constant :

A
[M0LT2]
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B
[M0L2T4]
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C
[M0LT3]
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D
[M0L2T1]
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Solution

The correct option is C [M0L2T1]
Given, number of particle passing from unit area in unit time =n
=NumberofparticleA×t=[M0L0T0][L2][T]=[L2T1]
Now from the given formula [D]=[n][x2x1][n2n1]=[L2T1]

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