A brass rod is 52.6 cm long and an aluminum rod is 66.5 cm long when both rods a

Question

A brass rod is 52.6 cm long and an aluminum rod is 66.5 cm long when both rods are at an initial temperature of 0-degrees C. The rods are placed in line with a gap of 0.9 cm between them. The distance between the far ends of the rods is maintained at 120.0 cm throughout. The temperature is raised until the two rods are barely in contact. The coefficients of linear expansion of brass and aluminum are 2.0 x 10-5 K-1 and 2.4 x 10-5 K-1, respectively. In the figure, the ratio of the increase in the length of the aluminum rod to that of the brass rod, is closest to: A) 1.52 B) 2.02 C) 1.90 D) 1.77 E) 1.64

Explanation / Answer

C) 1.90

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