Question

$\text{M}{\text{L}}^{\text{2}}{\text{T}}^{\text{3}}{\text{I}}^{\text{-2}}$ is the dimension of:

• A. resistivity
• B. resistance
• C. potential difference
• D. electric field

Answer 1

Answer: (B)

We know that $M{L}^2{T}^{-3}$ is the dimension of power, hence the given quantity is $=\frac{\text{power}}{{\text{(current)}}^{\text{2}}}$ We also know that $i^{2}R=power$ So, $R=\frac{\text{power}}{{\text{(current)}}^{\text{2}}}$ Therefore, $M{L}^2{T}^{-3}{I}^{-2}$ is the dimension of resistance.