Question

The length of metal rod is 150 cm at 25°C. Find its length when it is heated to 150°C (α steel = 2.2 x 10⁻⁵/°C)

Answer 1

Here's your answer mate..

Answer 2

Answer: The correct answer is  150.41 cm.

Explanation:

The expression for the change in the length is as follows;

$\Delta L=L_{0}(1+\alpha\Delta T)$

Here, $\Delta L$ is the change in the length, $L_{0}$ is the original length, $\alpha$ is the linear expansion coefficient and $\Delta T)$ is the change in the temperature.

It is given in the problem that the length of metal rod is 150 cm at 25°C. It is heated to 150°C.

Put $L_{0}$= 150 cm, $\Delta T= (150°C- 25°C)$ and  $\alpha= 2.2 x 10⁻⁵/°C$.

$\Delta L=150(1+(2.2 x 10⁻⁵) (150°C- 25°C))$

$\Delta L=150(1+(2.2 x 10⁻⁵) (150°C- 25°C))$

Therefore, the change in the length of the metal is 150.41 cm.