Question

If $L$ and $R$ denote inductance and resistance respectively, then the dimensions of $L/R$ are

• A. $\left[M^0{L}^0{T}^0\right]$
• B. $\left[M^0{L}^{0}T\right]$
• C. $\left[M^2{L}^0{T}^2\right]$
• D. $\left[ML{T}^2\right]$

Answer 1

Answer: (B)

$\left[M^0{L}^{0}T\right]$

The ratio $\frac{L}{R}=\frac{\left[M{L}^2{T}^{-2}{A}^{-2}\right]}{\left[M{L}^2{T}^{-3}{A}^{-2}\right]}=T=\left[M^0{L}^0{T}^1\right]$