Question

If resonant frequency is $f$ and capacitance become $4$ times, then resonant frequency will be :

• A. $\frac{f}{2}$
• B. $2f$
• C. $f$
• D. $\frac{f}{4}$

Answer 1

Answer: (A)

$\frac{f}{2}$

Frequency, $f=\frac{1}{2\pi \sqrt{LC}}$
When capacitance $=4C$, then
$f^{\prime }=\frac{1}{2\pi \sqrt{4LC}}=\frac{f}{2}$.