The unit of mobility in terms of fundamental | vedclass

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(A) Mobility $\mu$ is defined as the ratio of drift velocity $v_d$ to the electric field $E$: $\mu = \frac{v_d}{E}$.The unit of drift velocity $v_d$ i

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$kg^{-1} s^2 A$

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(A) Mobility $\mu$ is defined as the ratio of drift velocity $v_d$ to the electric field $E$: $\mu = \frac{v_d}{E}$.The unit of drift velocity $v_d$ is $m \cdot s^{-1}$.The unit of electric field $E$ is $N \cdot C^{-1}$.Substituting the fundamental units:$1 \ N = 1 \ kg \cdot m \cdot s^{-2}$$1 \ C = 1 \ A \cdot s$Therefore, the unit of $E$ is $\frac{kg \cdot m \cdot s^{-2}}{A \cdot s} = kg \cdot m \cdot s^{-3} \cdot A^{-1}$.Now, calculating the unit of $\mu$:$\mu = \frac{m \cdot s^{-1}}{kg \cdot m \cdot s^{-3} \cdot A^{-1}} = \frac{m \cdot s^{-1} \cdot A \cdot s^3}{kg \cdot m} = kg^{-1} \cdot s^2 \cdot A$.Thus, the correct option is $A$.

The unit of mobility in terms of fundamental units is . . . . . . .

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