Percentage change in length of iron rod – Rankers Physics

Thermal Expansion: Practice Problem & Solution

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

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Thermal Expansion. Understanding the underlying formula is key to arriving at the correct answer below:

Using the formula for thermal expansion, \( \frac{\Delta L}{L} \times 100 = \alpha \Delta T \times 100 \). Plugging in the values: \( 2 \times 10^{-5} \times 100 \times 100 = 0.2% \).

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