Which of the following represents the dimensi | vedclass

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Question

(A) The capacitance $C$ is defined as the ratio of charge $Q$ to potential difference $V$,given by $C = \frac{Q}{V}$.The dimensional formula for charg

Vedclass · Accepted Answer

$M^{-1}L^{-2}T^4A^2$

Vedclass · Answer

(A) The capacitance $C$ is defined as the ratio of charge $Q$ to potential difference $V$,given by $C = \frac{Q}{V}$.The dimensional formula for charge $Q$ is $[AT]$.The dimensional formula for potential difference $V$ is $[ML^2T^{-3}A^{-1}]$.Substituting these into the formula for $C$:$C = \frac{[AT]}{[ML^2T^{-3}A^{-1}]} = [M^{-1}L^{-2}T^4A^2]$.Thus,the correct option is $A$.

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