1. Tardigrade
  2. Question
  3. Physics
  4. L, C and R represents the physical quantities, inductance, capacitance and resistance, respectively. Which of the following combinations have dimensions of frequency?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

CMC MedicalCMC Medical 2015

Solution:

Time constant $ =RC=L/R $ $ \therefore $ $ \frac{1}{RC} $ and $ R/L $ have dimensions of frequency. Also, frequency $ v=\frac{1}{2\pi \sqrt{LC}} $ Therefore, $ \frac{1}{\sqrt{LC}} $ has the dimensions of frequency.