Resonance frequency of L-C-R series AC circuit is f₀ . Now inductance is reduced to 1 4 times and capacitance is increased to 16 times, then the resonance frequency becomes.

Step-by-step solution

Resonance frequency of series L-C-R circuit, f₀= 1 2 L C ...(i) When inductance is reduced to L 4 and capacitance is increased to 16 C , then new value of resonance frequency, aligned f₀^ & = 1 2 L 4 16 C & = 1 2 4 L C = 1 2 1 2 L C & = f₀ 2 [from Eq (i)] aligned