Athousand metal rods, each 3.0 cm in diameter and exactly 2.0 meters long at 5.0°c, are bundled together. the bundled stack is tipped up so that that the bottom of the stack rests on a hard floor, and the ends of the rods at the top are exactly the same height. they are all painted gold, but only one of them actually is gold. the rest are aluminum. if the room is warmed to 35.0°c, how could you identify the gold rod by examining the top of the stack? the coefficients of linear expansion are: 23×10-6 (c°)-1 and 14×10-6 (c°)-1.