Question

Dimensional formula for $\frac{L}{R^{2}C}$ is (symbols have their usual meaning):

• A. $\left[M^0{L}^{0}T\right]$
• B. $\left[M^0{L}^0{T}^2\right]$
• C. $\left[M^0{L}^0{T}^0\right]$
• D. None of these

Answer 1

Answer: (C)

Here, dimensional formulas of Time-constants are, $\left[\frac{L}{R}\right]=Tand[RC]=T$
So, $\left[\frac{L}{R^{2}C}\right]=\left[\frac{\frac{L}{R}}{RC}\right]=\left[\frac{T}{T}\right]=M^0{L}^0{T}^0$