You have it backwards, Kot. The Object Resistance test is for any sensors that might hear the bomb going off.
Just like with Improved Invisibility and vision, Silence masks the sounds of affected targets automatically with a single hit on the test. Then, any person or sensor which might hear the sounds is considered, for people, they roll an Intuition (+ Counterspelling) test against the hits on the Spellcasting test, for sensors, compare OR to hits, if hits >= OR, you're good.
Granted, silence is LOS(A), so you don't cast it on a bomb, you cast it on an area around the bomb. Which would encompass (most of) the area in which gas is expanding, so you don't even have the conundrum of the expanding gas making the noise beyond the affected "item", all sound within the area is suppressed equally.