A) \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-1}}]\]
B) \[[M{{L}^{2}}{{T}^{-2}}]\]
C) \[[M{{L}^{2}}{{T}^{-1}}{{I}^{-1}}]\]
D) \[[M{{L}^{2}}{{T}^{-3}}{{I}^{-2}}]\]
Correct Answer: D
Solution :
Resistance\[R=\frac{Potential\,\,difference}{Current}=\frac{V}{i}=\frac{W}{qi}\] (\[\because \]Potential difference is equal to work per unit charge) So, dimensions of R \[=\frac{[Dimensions\,\,of\,\,Work]}{[Dimensions\,\,of\,\,charge][Dimensions\,\,of\,\,current]}\]\[=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[IT][I]}=[M{{L}^{2}}{{T}^{-3}}{{I}^{-2}}]\]You need to login to perform this action.
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