L C R circuit, the resonance frequency of circuit increases two times of the initial circuit by changing C and C^ and R from 100 to 400 , while the inductance was kept the same. The ratio C / C^ , is

Step-by-step solution

Given, in series L C R circuit, initial capacitance, C₁=C final value of capacitance, C₂=C^ inductance, L₁=L₂=L and resistance, R₁=100 ₂=400 Resonance frequency, and Given, f₁= 1 2 L₁ C₁ f₁= 1 2 L C and f₂= 1 2 L₂ C₂ f₂= 1 2 L C^ Given, f₂=2 f₁ 1 2 L C^ = 2 2 L C 1 C^ = 2 C 1 C^ = 4 C C C^ =4