Will this reciever work?
No, not as shown...because the transistor is not biased properly.
However, it is a good start:
- Antenna signals feed a bandpass filter that selects one frequency preferentially.
- A transistor gain stage boosts signal before a diode detector
Another answer suggests re-arranging the order so that the diode detector comes first, followed by an audio amplifier that drives an audio transducer. This has the merit that an audio amplifier would probably have more gain than would a radio-frequency amplifier. However, a diode detector deals poorly with tiny signals from an antenna, providing little audio signal to the following audio amplifier.
Here's a suggested way to bias the transistor so that its base sees the 800 kHz signal on top of a DC bias from R1 & R3 (leftmost circuit). The transistor amplifies 800 kHz signal first, then drives a diode detector through a coupling capacitor to headphones. A loudspeaker has such low resistance that transistor gain would be difficult to achieve...high impedance headphones would allow more gain:
simulate this circuit – Schematic created using CircuitLab
On the right, a ferrite rod is used as RF selector AND antenna. This is often done in transistor radios. A link winding on the rod having fewer turns than the main winding provides a lower impedance signal to the transistor, which gives higher gain.
It would be convenient to take the ferrite rod from another radio, along with its variable tuning capacitor...everything is already optimized so that the transistor sees a good RF signal between base and the bias resistors R8, R6. A bypass capacitor C9 provides an AC ground reference for radio-frequency signals.
DC base bias current flows through the small link winding on the ferrite rod.
Edit:
The left circuit requires antenna wire connected to C2 & L1 and a connection to GROUND as well. At 800 kHz frequency, most any length wire antenna will add capacitance which adds to C2, affecting resonant frequency.
The ferrite rod transformer of the rightmost circuit needs neither antenna nor ground.
Bias resistors R1 & R3 at left circuit should be chosen on the high side so that they don't load down L1,C2 resonance...more than tens of kilohms.
To achieve high gain, both Rheadphone and R2 ideally would be above 1000 ohms. D1 would best be germanium or schottky rather than silicon. This also applies to right circuit.