Answer:
Option D
Explanation:
In LCR series circuit, resonance frequency f0 is given by
$L\omega = \frac{1}{C\omega}\Rightarrow \omega^{2} =\frac{1}{LC}$
$\therefore\omega = \sqrt{\frac{1}{LC}}=2\pi f_{0}$
$\therefore f_{0} = \frac{1}{2\pi\sqrt{LC}}$ or $f_{0} \propto \frac{1}{\sqrt{C}}$
When the capacitance of the circuit is made 4 times, its resonant frequency become f'0
$\frac{f'_{0}}{f_{0}}=\frac{\sqrt{C}}{\sqrt{4C}}$
OR $f'_{0} = \frac{f_{0}}{2}$