A) \[[M{{L}^{2}}{{T}^{2}}{{Q}^{-1}}]\]
B) \[[M{{L}^{2}}{{T}^{2}}{{Q}^{2}}]\]
C) \[[L{{T}^{2}}Q]\]
D) \[[{{M}^{2}}L{{T}^{2}}{{Q}^{-1}}]\]
Correct Answer: A
Solution :
It is clear that potential difference between any two points is the amount of work done, when a unit charge moves from one point to other \[V=\frac{\text{Work}\,\,\text{done}}{\text{Charge}\,\,\text{moved}}=\frac{W}{Q}\] Hence, the dimensions of potential difference \[=\frac{\text{Dimension of work done}}{\text{Dimension of charge moved}}\] \[=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[Q]}\] \[=[M{{L}^{2}}{{T}^{-2}}{{Q}^{-1}}]\]
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