Question

Consider two thin rods, one of aluminum and another of unknown material, x of equal length, 100 cm each, both at 12 C. The coefficient of linear expansion for Aluminum is 2.4×10^–5/^oC. When both having identical initial temperature 12 C are raised to the same final temperature 92 C, the aluminum rod changed in length by an amount that equals double the change happening to the other unknown rod, x. Find the coefficient of linear expansion for the unknown rod.

Answer 1

Given data:

Length of both rods = 100 cm

Initial temeperature of both rods = 12^o C

Final temperature of both rods = 92^o C

it is given that,

Change in length of aluminum rod = 2* (Change in length of unknown rods)

Change in legth due to temperature =

therefore