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

Step-by-step solution

The time constant of an RC circuit is given by = RC , which has the dimension of time [T] . Therefore, the dimension of 1 RC is [T⁻¹] , which corresponds to the dimension of frequency. The time constant of an LR circuit is given by = L R , which has the dimension of time [T] . Therefore, the dimension of R L is [T⁻¹] , which corresponds to the dimension of frequency. The resonant angular frequency of an LC circuit is given by = 1 LC , which has the dimension of frequency [T⁻¹] . The dimension of C L is [M⁻¹L⁻²T⁴A²]