A) \[[R]=[{{M}^{1}}{{L}^{2}}{{T}^{-3}}{{I}^{-2}}]\]
B) \[[R]=[{{M}^{1}}{{L}^{2}}{{T}^{-3}}{{I}^{2}}]\]
C) \[[R]=[{{M}^{1}}{{L}^{2}}{{T}^{3}}{{I}^{-2}}]\]
D) \[[R]=[{{M}^{1}}{{L}^{2}}{{T}^{3}}{{I}^{2}}]\]
E) \[[R]=[{{M}^{-1}}{{L}^{2}}{{T}^{-3}}{{I}^{-2}}]\]
Correct Answer: A
Solution :
\[R=\frac{V}{I}=\frac{W}{QI}=\frac{W}{{{I}^{2}}t}\] \[[R]=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[{{I}^{2}}][T]}=[{{M}^{1}}{{L}^{2}}{{T}^{-3}}{{I}^{-2}}]\]
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