A FLT INSTRUCTOR IN A C172 RPTS THAT HIS STUDENT CLBED INTO THE N90 CLASS B AIRSPACE WITHOUT CLRNC. TRAINING IN PROGRESS.

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A PVT PLT STUDENT AND MYSELF WERE ON THE RETURN LEG OF A VFR XCOUNTRY TRAINING FLT FROM SBY TO FOK. WE WERE AT 1500 FT MSL; USING FLT FOLLOWING; APCHING JFK FROM THE NEW JERSEY COAST. WE CHKED IN WITH NY APCH AND THE CTLR RESPONDED. THE CTLR'S SECOND XMISSION WAS BARELY READABLE BECAUSE OF A LOUD TAPPING SOUND FROM HIS XMITTER. WE INFORMED THE CTLR OF THE PROB. AS WE CONTINUED THE FLT TOWARD JFK; DSNDING TO 450 FT TO KEEP BELOW THE CLASS B AIRSPACE S OF JFK; WE LISTENED TO AT LEAST 8-10 OTHER ACFT CAPTS INFORM THE CTLR OF HIS BAD XMITTER. WE WERE NOW HDG E AT 450 FT ALONG THE BEACH WHEN THE CTLR'S XMITTER PROB STARTED CLRING UP. HE TOLD US WE WERE CLR OF THE CLASS B AIRSPACE AND WE COULD GAIN ALT. WE WERE CLR OF ALL TFC SO I TOLD THE STUDENT TO CLB TO 1400 FT; 100 FT BELOW THE FLOOR OF THE SPACE ABOVE. I TURNED MY ATTN TO THE SECTIONAL TO DETERMINE OUR POS. WHEN I CHKED OUR ALT THE STUDENT WAS CLBING ABOVE 1500 FT. I COMMENTED ON HIS ALT. HIS RESPONSE WAS; THE CTLR CLRED US OF THE AIRSPACE. JUST THEN WE RECEIVED A XMISSION FROM THE CTLR THAT WE WERE ENTERING THE CLASS B AIRSPACE. I RESPONDED; YOU CLRED US OF THE AIRSPACE. THE CTLR SAID WE WERE CLRED OF THE CLASS B BUT BELOW THE FLOOR OF THE AIRSPACE ABOVE. I IMMEDIATELY TOOK THE CTLS; STARTED A DSCNT FROM 1750 FT AND APOLOGIZED FOR THE INTRUSION. I WAS SO UPSET THAT I INSTRUCTED THE STUDENT TO COMPLETE THE TRIP AT 1400 FT OUTSIDE OF ALL CTLED AIRSPACE. I CONTRIBUTE THE ERROR TO: DISTR FROM THE BAD XMITTER; LENGTH OF TIME OF BAD XMISSIONS; PHRASEOLOGY BY THE CTLR (SINCE WE WERE NEVER IN CLASS B AIRSPACE; CLRING US OF CLASS B ADDED CONFUSION); ALSO THAT HE DID NOT WARN OF POSSIBLE INTRUSION INTO CLASS B AIRSPACE; AND MY LACK OF ATTN AND TRUST TO ACTIONS OF A STUDENT PLT AND THEN MY CONFUSION CAUSED BY THE STUDENT'S COMMENT; ALSO NOT BEING POSITIVE OF OUR POS.