INSTRUCTOR WITH STUDENT PLT FAILS TO COME TO FULL STOP LNDG. FALCON JET MAKES HARD L TURN OUT. INSTRUCTOR NOT MONITORING RADIO WHILE IN TFC PATTERN.

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DURING TRAINING FLT; MY STUDENT AND I WERE PRACTICING LNDGS DOING TOUCH AND GOES ON RWY 18 AT MOBILE REGIONAL ARPT. AFTER DOING SEVERAL TOUCH AND GOES; THE 'INCIDENT' OCCURRED WHEN WE MADE A TOUCH AND GO AND ON THE NEXT DOWNWIND TWR TOLD US THAT WE HAD BEEN CLRED TO LAND; HE'D CALL OUR DEP. WE NEVER HEARD THIS XMISSION AND POSTFLT DISCUSSION WITH THE CTLR REVEALED HE ATTEMPTED TO CALL US 3-4 TIMES. HE SAID HE KNEW WE DID NOT ANSWER; WE DIDN'T ANSWER BECAUSE WE DID NOT HEAR THE CALL. THE HAZARD WAS THAT A FALCON JET WAS DEPARTING ON RWY 14; NECESSITATING OUR FULL STOP. SINCE WE DID NOT FULL STOP; OUR DEP PATHS WERE CONFLICTING AND THE FALCON HAD TO MAKE A HARD L TURN OUT. I REALIZE THAT IT IS IMPORTANT TO 'KEEP EARS OPEN' AT TWR ARPTS HOWEVER; UNRELIABLE AVIONICS (OLD ORIGINAL RADIOS) AND THE ACTIVITY OF FLT INSTRUCTING (IT'S USUALLY EASIEST TO DISCUSS THE PREVIOUS LNDG WITH A STUDENT ON DOWNWIND) MAY HAVE CONFLICTED WHEN TWR WAS ATTEMPTING TO CONTACT US. DURING THE FLT; WE WERE VIGILANT IN RESPONDING TO ALL OUR CALLS THAT WE HAD RECEIVED. SINCE TWR KNEW THAT WE DID NOT ACKNOWLEDGE THEIR RADIO CALLS; PERHAPS RWY 14 TFC SHOULD HAVE BEEN HELD ON THE GND LONGER TO ASSURE PROPER SEPARATION. IN THE FUTURE; I WILL BE EVEN MORE VIGILANT IN LISTENING FOR RADIO CALLS AND WISHING THE ACFT WAS EQUIPPED WITH BETTER QUALITY AVIONICS. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR STATES THE ACFT WAS A C152. THIS IS THE FIRST TIME SUCH A THING HAS HAPPENED TO HIM PERSONALLY. THERE IS A VERY ACTIVE FLT SCHOOL AT THE ARPT AND ATC WILL OCCASIONALLY REQUEST FULL STOP WHEN TFC GETS BUSY. THE FALCON IS A MIL ACFT THAT WAS ALSO DOING TRAINING. NO FURTHER FOLLOW UP HAS OCCURRED.