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Q.

Number of particles is given by n=−Dn2−n1x2−x1crossing 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−1n2=n1= number of particles per unit volume =L−3x2=x1= positions ∴ D=[n]x2−x1n2−n1=L−2T−1×[L]L−3=L2T−1
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