Question

finish all of them and show the process

lucdl US Law. I -II - N . 1. [2 Points] You have two rods, one is made of aluminum and the other is made of Pyrex glass. At T = 0°C, the length of the aluminum rod is LAL = 3.070 m, and the length of the Pyrex rod is LPyrex = 3.100 m. You are given that the coefficient of linear expansion for aluminum is a AL = 24 x 10-6 and apyrex = 3.3 x 10-6 Please keep 4 significant figures in all your results. a. At what temperature will the aluminum rod and the Pyrex rod have the same length? (1.5 pts) T = °C b. When they have the same length, what is that length? (0.5 pts) L = בן

Answer 1

. Given here, so is at To 0°C LA 3.0tom i Lpynen 3.100m X = 24 x 10-6 & i & perean 3.34 10 6087 a) we have a relation for Coefficiant for linear exponsion as L-to = x (T-To) - Lo Where: La increased length - to initial length da Coefficient of thermal expansion T = final tempersature Tea initial temperature Mow, for Aluminium 6- 31070 — 248 10 X (T-0) L- 3.070 = 73.68X10* T. - L- 73.68x10 %T = 3070 in 3.07o. For Pyrex - 3.100 - 3.341078 (T-0) 3.100 - 10.234 10 6 = 3.100 ting Here we have to consider Lend T for bothe modd some according to the given situation in question so that on solving ligg & li we were get,

La 3.104833 m nevid I and T = 472.81323 °C Hence @ Temperature at which both rod have same tength will be T= 472.81323°67 1996 Their some length L = 3. 184833m]