Question

An inductance coil of $1$ $H$ and a condenser of capacity $1$ $pF$ produce resonance. The resonant frequency will be

• A. $\frac{{10}^6}{\pi }Hz$
• B. $27\pi \times {10}^{6}Hz$
• C. $\frac{2\pi }{{10}^6}Hz$
• D. $\frac{{10}^6}{2\pi }Hz$

Answer 1

Answer: (D)

$\frac{{10}^6}{2\pi }Hz$

If $f$ is resonant frequency then

$f=\frac{1}{2\pi \sqrt{LC}}$

$L=1H$

$C=1pF={10}^{-12}$

$f=\frac{1}{2\pi \sqrt{1\times {10}^{-12}}}$

$f=\frac{{10}^6}{2\pi }Hz$