Question

two iron rods one 25.6cm long and other 26.5 cm long are heated to the same rise in temperature which will expand more and why​

Answer 1

Given:

Two iron rods one 25.6cm long and other 26.5 cm long are heated to the same rise in temperature.

To find:

Which rod will expand more?

Calculation:

The general expression for linear expansion of solids is :

$\boxed{ \bf\Delta L = L \times \alpha \times \Delta \theta}$

• ∆L is the change in length.

• L is the initial length

• $\alpha$ is the linear expansion coefficient.

• $\Delta \theta$ is the change in temperature.

Since , we have been provided with rods which are both made of iron , the value of $\alpha$ is same. Also , the temperature change is same (as stated in question).

$\boxed{ \implies\bf\Delta L \propto L}$

So, higher the initial length, higher will be the expansion.

Hence , rod with length 26.5 cm will expand more.