The coefficient of linear expansion of an inhomogeneous rod changes linearly from α 1 to α 2 from one end to the other end of the rod. The effective coefficient of linear expansion of the rod is:

Question

The coefficient of linear expansion of an inhomogeneous rod changes linearly from α 1 ​ to α 2 ​ from one end to the other end of the rod. The effective coefficient of linear expansion of the rod is:

TestHub · Accepted Answer

An element at distance x has α = α 1 ​ + L α 2 ​ − α 1 ​ ​ x and expands α d x Δ T . Integrating over L gives Δ L = 2 α 1 ​ + α 2 ​ ​ L Δ T . B.

Physics - Heat & Thermo Question with Solution | TestHub

Options:

Doubts & Discussion