An inductor alone cannot tune to a particular frequency. You need both an inductor and a capacitor. Capacitors store energy in the electric field between their plates.
As your first respondant said, the voltage across an inductor is given by V = L* di/dt where di/dt is the rate of change of the current through the inductor. For a capacitor, it is i = C* dV/dt where dV/dt is the rate of change of the voltage across the capacitor.
If you do the maths, you will find that a parallal LC circuit will resonate at f = 1/ {2*Pi*sqrt(L*C)} where f is the frequency at resonance. At reasonance, the voltage across the circuit is a maximum and this is why it passes that particular frequency and not others.
For a series LC circuit, the current will rise to a maximum at resonance.
Len