Q102 / 200 · NEET 2007 · Physics
Dimensions of resistance in an electrical circuit, in terms of dimension of mass $M$, of length $L$, of time $T$ and of current $I$, would be
- A$M L^2 T^{-2}$
- B$M L^2 T^{-1} I^{-1}$
- Correct answerC$M L^2 T^{-3} I^{-2}$
- D$M L^2 T^{-3} I^{-1}$
Solution
We know that
$\begin{aligned}
R & =\frac{V}{I}=\frac{\left[M L^2 T^{-2}\right]}{\left[I^2 T\right]} \\
& =\left[M L^2 T^{-3} I^{-2}\right]
\end{aligned}$
Hence, the correct answer is option: 'C'.