Q. $R,\ L\ and\ C$ represent the physical quantities resistance, inductance and capacitance respectively. Which one of the following combination has dimension of frequency?
A) $\frac{1}{\sqrt{RC}}$
B) $\frac{R}{L}$
C) $\frac{1}{LC}$
D) $\frac{C}{L}$
Explanation
The dimension of frequency $(f) = \left\lbrack T^{- 1} \right\rbrack$ The dimension of $\left( \frac{R}{L} \right) = \frac{\left\lbrack {ML}^{2}T^{- 3}A^{- 2} \right\rbrack}{\left\lbrack ML^{2}T^{2}A^{- 2} \right\rbrack}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \left\lbrack \frac{1}{T} \right\rbrack$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \left\lbrack T^{- 1} \right\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.