Question

If L and R denote inductances and resistance respectively then dimension of LR is

• A. [MLTA]
• B. $\left[M^2{L}^4{T}^{-5}{A}^{-4}\right]$
• C. $\left[M^0{L}^0{T}^2{A}^0\right]$
• D. $\left[M^0{L}^0{T}^{-2}{A}^0\right]$

Answer 1

Answer: (B)

$\left[M^2{L}^4{T}^{-5}{A}^{-4}\right]$

Dimension of L: $\left[M{L}^2{T}^{-2}{A}^{-2}\right]$
Dimension of R: $\left[M{L}^2{T}^{-3}{A}^{-2}\right]$
so, Dimension of LR: $\left[M^2{L}^4{T}^{-5}{A}^{-4}\right]$