Which of the following quantities has the dimension MI. \({ }^2 \mathrm{~T}^{-3}\)
A. Power B. Acceleration C. Density D. Work
Correct Answer: A
Explanation
\( \mathrm{ML}^2 \mathrm{~T}^{-3} \Rightarrow \frac{\mathrm{ML}}{\mathrm{T}} \cdot \frac{\mathrm{L}}{\mathrm{L}^2}\) \(\Rightarrow\) mass \(\mathrm{x}\) velocity \(\mathrm{x}\) acceleration \(\Rightarrow\) mass \(\mathrm{x}\) acceleration \(\mathrm{x}\) velocity \(\Rightarrow\) force \(\mathrm{x}\) velocity \(=\) power \(\therefore\) The dimension \(\mathrm{ML}^2 \mathrm{~T}^{-3}\) corresponds to the dimension of power.