Physics And Measurement Question 27

Question: 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

[CPMT 1979]

Options:

A) M0LT2

B) M0L2T−4

C) M0LT−3

D) M0L2T−1

Show Answer

Answer:

Correct Answer: D

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

D=[n] [x2−x1][n2−n1]=[L−2T−1]×[L][L−3] = [L2T−1]

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