In an LC oscillator, C = 50 μF and L = 0.08 H are used. If the resistance of the circuit is negligible, the time period of oscillation is

12.56 ms

The correct answer is Option (3) → 12.56 ms

Formula for time period of LC oscillator:

$T = 2\pi\sqrt{LC}$

Given: $L = 0.08 \ \text{H}, \ C = 50 \ \mu F = 50 \times 10^{-6} \ \text{F}$

$LC = 0.08 \times 50 \times 10^{-6} = 4.0 \times 10^{-6}$

$\sqrt{LC} = \sqrt{4.0 \times 10^{-6}} = 2.0 \times 10^{-3}$

$T = 2\pi \times 2.0 \times 10^{-3} = 4\pi \times 10^{-3} \ \text{s}$

$T \approx 0.0126 \ \text{s}$

${1.26 \times 10^{-2} \ \text{s}}$