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, $\left[\frac{L}{R}\right]=Tand\left[\right.RC\left]\right.=T$
So, $\left[\frac{L}{R^{2} C}\right]=\left[\frac{\frac{L}{R}}{RC}\right]=\left[\frac{T}{T}\right]=M^{0}L^{0}T^{0}$