Interesting question, but, no, the camera or, more accurately, the storage device does not increase in weight. Through a system within the camera called a CCD, Charge Coupled Device which converts photons into electrical charges (photons have no mass, but do have momentum that is not proportional to its mass but, rather, to its frequency) and the process continues digitizing the electrical energy into the usual series of "1''s" and "0's" common to all computer processors. These are, in the final analysis, what's stored on th eflash drive...