A) \[[M{{L}^{3}}{{T}^{-3}}{{A}^{-2}}]\]
B) [\[{{M}^{-1}}{{L}^{2}}{{T}^{-3}}{{A}^{-2}}\]]
C) [\[{{M}^{3}}{{L}^{-2}}{{T}^{-1}}\]]
D) [\[M{{L}^{3}}{{T}^{-4}}{{A}^{-3}}\]]
Correct Answer: A
Solution :
As we know that resistance,\[R=\rho \frac{l}{A}\]where, \[\rho =\]resistivity \[l=\]length of conductor wire and A = area of cross- section of conductor wire. or\[\rho =\frac{RA}{l}\] \[\Rightarrow \]Dimensions, \[\rho =\frac{[M{{L}^{2}}{{T}^{-3}}{{A}^{-2}}][{{L}^{2}}]}{[L]}\] \[=[M\,{{L}^{3}}{{T}^{-3}}{{A}^{-2}}]\]
You need to login to perform this action.
You will be redirected in
3 sec
