- #1

Titan97

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## Homework Statement

The coefficient of linear expansion of a rod of length 1 meter (at 300K) varies with temperature as ##\alpha=\frac{1}{T}##, where T is the temperature. Find the increment in length when the rod is heated from 300K to 600K

## Homework Equations

$$\Delta L=L\alpha \Delta T$$

## The Attempt at a Solution

I considered a small element of length ##dl## at a distance of ##l## from one end.

Let the elements length increase by ##dx##.

$$dx=dl\frac{2}{T}dT$$

How will I integrate the above expression