Thermal Expansion of a Cube – Rankers Physics

Uncategorized: Practice Problem & Solution

A solid cube of side $4text{ m}$ having coefficient of areal expansion $2 times 10^{-5}/^circtext{C}$. If temperature is changed by $40^circtext{C}$ then the change in side length of the cube will be
$1.6text{ mm}$
$0.16text{ mm}$
$3.2text{ mm}$
$0.32text{ mm}$

Solution Explained:

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

The coefficient of linear expansion is $alpha = frac{beta}{2} = 10^{-5}/^circtext{C}$. Change in side length is $Delta L = L alpha Delta T = 4 times 10^{-5} times 40 = 1.6text{ mm}$.

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