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Q.

Number of particles is given by n = -Dn2-n1x2-x1   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

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a

M0LT2

b

M0L2T-4

c

M0LT-3

d

M0L2T-1

answer is D.

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Detailed Solution

[n] = Number of particles crossing a unit area in unit time = [L-2T-1][n2] = [n1]  = number of particles per unit volume = [L-3][x2] = [x1] = positions = [L]∴ D = [n][x2-x1][n2-n1]  = [L-2T-1]×[L][L-3]  = [L2T-1]
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Number of particles is given by n = -Dn2-n1x2-x1   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