Number of particles, given by n = - D n 2 - n 1 x 2 - x 1 , is crossing a unit area perpendicular to x -axis in unit time, where n 1 and n 2 are number of particles per unit volume for the value of x meant to x 2 and x 1 . Find dimensions o

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Number of particles, given by n = - D n 2 - n 1 x 2 - x 1 , is crossing a unit area perpendicular to x -axis in unit time, where n 1 and n 2 are number of particles per unit volume for the value of x meant to x 2 and x 1 . Find dimensions of D , called as diffusion constant.

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Correct answer: D. M 0 L 2 T - 1

Given, number of particle passing from unit area in unit time = n = N u m b e r o f p a r t i c l e A × t = M 0 L 0 T 0 L 2 T = L - 2 T - 1 n 1 = n 2 = N u m b e r o f p a r t i c l e i n u n i t v o l u m e = L - 3 Now, from the given formula D = n x 2 - x 1 n 2 - n 1 = L - 2 T - 1 L L - 3 = L 2 T - 1

Number of particles, given by n = - D n 2 - n 1 x 2 - x 1 , is crossing a unit area perpendicular to x -axis in unit time, where n 1 and n 2 are number of particles per unit volume for the value of x meant to x 2 and x 1 . Find dimensions of D , called as diffusion constant.

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