Percentage Change in Length of a Rod – Rankers Physics
Topic: Thermal Physics
Subtopic: Thermal Expansion

Percentage Change in Length of a Rod

The percentage change in length of 1 m iron rod if its temperature changes by 100ºC is (\(\alpha\) for iron is \(2 \times 10^{-5}/\text{ºC}\))
0.2%
0.3%
0.5%
0.9%

Solution:

The percentage change in length is given by \(\frac{\Delta L}{L} \times 100 = \alpha \Delta T \times 100 = (2 \times 10^{-5}) \times 100 \times 100 = 0.2%\).

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