The dimensional formula of mobility is ... .

Options

A. `M^(-1) L^(1)T^(2) A^(1)`
B. `M^(1) L^(0) T^(-2) A^(-1)`
C. `M^(1)L^(-1) T^(-2) A^(-1)`
D. `M^(-1) L^(0) T^(2) A^(1)`

Answer

D

Explanation

`M^(-1) L^(0) T^(2) A^(1)`
Mobility `mu = (v_(d))/(E)`
`[ mu] = ([V_(d)])/([E]) = ([v_(d)])/([N]) xx [C]`
` = ([M^(0) L^(1) T^(-1)] xx [A^(1) T^(1)])/([M^(1) L^(1) T^(-2) ] ) = [M^(1) L^(0) T^(2) A^(1)] `