What range of radio waves can a radio receive if the capacitance of its oscillating

What range of radio waves can a radio receive if the capacitance of its oscillating circuit can vary from 50 to 200 pF, and the inductance is 50 mH?

The natural frequency f of the oscillatory circuit is determined by the formula:

f = 1 / 2π√LC, where L is inductance, C is capacitance.

Let’s find the frequencies for the extreme values of the capacitance of the capacitor:

f1 = 1 / 2π√50 * 10 ^ (- 3) * 50 * 10 ^ (- 12) = 1 / 10π√10 ^ (- 13) = 10 ^ (6) / π√10 = 10 ^ (5) Hz = 100 kHz.

f2 = 1 / 2π√50 * 10 ^ (- 3) * 200 * 10 ^ (- 12) = 200 kHz.

Answer: The radio receiver can receive waves in the range from 100 to 200 kHz.