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 \[R=\frac{Potential\,differece}{Current}=\frac{V}{i}=\frac{W}{qi}\] (\[\because \]Potential difference is equal to work done per unit charge) So, dimensions of R \[=\frac{[Dimensions\,of\,work]}{[Diamensions\,of\,charge][Dimensions\,of\,current]}\]\[=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[IT][I]}=[M{{L}^{2}}{{T}^{3}}{{I}^{-2}}]\]You need to login to perform this action.
You will be redirected in
3 sec