EMJ AT FL220 EXPERIENCED TCASII RA WITH CLBING LEARJET IN ZNY AIRSPACE.

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WHILE ENRTE TO BOS FROM RDU WE RECEIVED A TCASII RA. WE DID NOT HAVE VISUAL WITH THE ACFT AND WE WERE IMC. IT WAS MY FO'S LEG AND WHEN WE RECEIVED THE RA HE IMMEDIATELY DISCONNECTED THE AUTOPLT AND FLEW THE VSI TO THE GREEN ARC WHICH CAUSED US TO HAVE TO CLB AT ABOUT 1000 FPM AND CREATED A TOTAL ALTDEV OF 900 FT FROM OUR ASSIGNED ALT OF FL220. BEAR IN MIND THAT WE WERE IN CRUISE FLT; ESTABLISHED AT OUR ASSIGNED ALT FOR THE PAST 45 MINS. THE TFC THAT WAS A CONFLICT WAS A CITATION ON J209 OUT OF TETERBORO HDG S ON J209. THE RA TOOK PLACE AT 55 MI ON THE 220 DEG RADIAL FROM JFK ON J209 HDG N. ACCORDING TO THE TCASII THE ACFT FLEW DIRECTLY UNDER US IN A CLB; AND WE WERE UNABLE TO ASSESS THE CLB RATE. WE COMMENCED THE TCASII RA PROC IN ACCORDANCE WITH AOM AND I IMMEDIATELY INFORMED ATC OF THE CONFLICT AND THAT WE WERE DEVIATING FROM OUR ASSIGNED CRUISE ALT. HE ACKNOWLEDGED. THE ZDC FREQ WAS 125.32. I CALLED AND ASKED WHAT WAS UP WITH THAT SIT AND HE SAID HE JUST HAD A SHIFT CHANGE AND WOULD LOOK INTO THAT.