$1)$ Consider the variable capacitor. What is the resonant frequency $($fvar$)$ when your hand is very far from the antenna? What is the output frequency? Does that make sense?

$2)$ When your hand is very close to the antenna, fvar $=48\mathrm{.}173$ kHz$.$ What is the value of the variable capacitor? What is the frequency of the output? Does that make sense?

$3)$ The whole audio frequency range is covered by moving your hand from close to the antenna $($say$,1$ cm$)$ to very far away $($say$,1$m$).$ How accurately $($and steadily$)$ does the player need to hold their hand $($in mm$)$ in order to sound a specific frequency $($say within $+/-1$ Hz$)$