A) \[[M{{L}^{2}}{{T}^{-2}}{{A}^{2}}]\]
B) \[[M{{L}^{2}}{{T}^{-3}}{{A}^{-2}}]\]
C) \[[M{{L}^{2}}{{T}^{-3}}{{A}^{^{2}}}]\]
D) \[[M{{L}^{2}}{{T}^{-2}}{{A}^{-2}}]\]
Correct Answer: B
Solution :
Electrical resistance \[R=\frac{Potential\,difference}{current\text{ }\left( I \right)}\] \[=\frac{work\text{ }done\text{ }\left( W \right)/charge\left( q \right)}{current\left( I \right)}\] \[\therefore \] Dimensions of \[R=\frac{[M{{L}^{2}}{{T}^{-2}}]/[AT]}{[A]}\] \[=[M{{L}^{2}}{{T}^{-3}}{{A}^{-2}}]\]
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