Question

L, C and R represent the physical quantities inductance, capacitance and resistance respectively. Which of the following combinations have dimensions of frequency?

• A. $\frac{1}{RC}$
• B. $\frac{R}{L}$
• C. $\frac{1}{\sqrt{LC}}$
• D. $\frac{C}{L}$

Answer 1

Answer: (A), (B), (D)

The correct options are
A

$\frac{1}{RC}$

B

$\frac{R}{L}$

D

$\frac{C}{L}$

$\left[\frac{1}{RC}\right]=\left[T^{-1}\right]\left[\frac{R}{L}\right]=\left[T^{-1}\right]\left[\frac{1}{\sqrt{LC}}\right]=\left[T^{-1}\right]\left[\frac{C}{L}\right]\left[M^{-2}{L}^{-4}{T}^6{T}^4\right]$