Electronic – How to add a low pass filter to this non-inverting amplifier circuit

RC circuits are a very bad idea at the front end - unless you have a special application where you really don't care about noise and sensitivity, perhaps the receiver is within a few miles of a high power transmitter.

One precedent for a deliberately insensitive receiver is the "Volksempfanger", designed to be incapable of picking up distant stations such as the BBC.

If you genuinely want to tune one frequency only, use an L-C tuned circuit - traditionally called a "tank" because it stores RF energy in a resonant circuit with no resistor to act as a loss mechanism or noise source.

It will also have the benefit over the R-C approach of reducing other strong signals within the AM band which could cross-modulate and interfere with your wanted signal. Unless you can guarantee the wanted signal is stronger than all other transmissions in the AM band (because you're near the transmitter) this is probably the biggest problem you will face in making a receiver that works well.

"Oscillation frequency" is a term that describes the frequency where the input-output phase relationship is exactly zero degrees i.e. if this filter were part of a circuit used as an oscillator it would oscillate at this frequency. Sometimes oscillation frequency is quoted at 180 degrees phase shift (inverting filter configurations)

It doesn't mean the circuit on its own will oscillate. Look at the results of an RLC low pass filter: -

Clearly this circuit doesn't oscillate but, all the same, it has an oscillation frequency.