The square root of the product of inductance and capacitance has the dimension of

Step-by-step solution

We know that, in L-C-R series resonant circuit, resonance frequency, aligned f &= 1 2 L C L C &= 1 2 f aligned L C = 1 [ = angular frequency ] aligned & Dimension of L C = 1 Dimension of & [ L C ]= 1 [ ] = 1 [ ~T ⁻¹ ] =[ T ] aligned Hence, square root of the product of inductance [L] and capacitance [ C ] has the dimension of time.