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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