Methods and apparatus for the inspection of air cargo including passenger luggage for pressure sensitive bombs. In accordance with the method, the air cargo is placed in a pressure vessel, which is then pressure cycled between a super-ambient pressure and a sub-ambient pressure duplicating the pressure at a substantial altitude. Cycling in this manner will trigger pressure sensitive switches set to set off, or initiate a timing device to set off, a terrorist bomb. The apparatus includes a pressure vessel with large blowout ports for venting the same to the atmosphere upon an extraordinary pressure rise indicative of the detonation of an explosive charge within the chamber. Also preferably located within the chamber are sensors, typically electromagnetic noise sensors, for sensing electromagnetic radiation characteristic of a switch closure turning on current to a bomb timing device. The pressure vessel, being a metallic enclosure or at least having a conductive layer, acts as a screen room, isolating the pressure vessel interior from external electromagnetic radiation. Other aspects of the methods and apparatus are disclosed.