Question

If L and R are respectively the inductance and resistance then the dimensions of L/R will be

• A. $M^0{L}^0{T}^{-1}$
• B. $M^{0}L{T}^0$
• C. $M^O{L}^{O}T$
• D. cannot be represented in terms of M,L & T

Answer 1

The correct option is C $M^O{L}^{O}T$

We know that$;$

Dimensional formula of $L=M{L}^2{T}^{-2}{A}^{-2}$

Dimensional formula for $R=R=M{L}^2{T}^{-3}{A}^{-2}$

$\frac{L}{R}=\frac{M{L}^2}{T^2{A}^2}\times \frac{T^2{A}^2}{M{L}^2}=M^0{L}^{0}T$

Hence,

option $\left(C\right)$ is correct answer.