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 $Delta L = L alpha Delta T = 4 times 10^{-5} times 40 = 1.6text{ mm}$.

Leave a Reply

Your email address will not be published. Required fields are marked *

Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. 3. The velocity of charge carriers of current (about $1 \text{ ampere}$) in a metal under normal conditions is of the order of (1991)
2. Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at $100^\circ\text{C}$, while the other one is at $0^\circ\text{C}$. If the two bodies are brought into contact, then, assuming no heat loss, the final common temperature is: (2016 - II)
3. A small ball is suspended from a thread. It is lifted up with an acceleration \(4.9 text{ m s}^{-2}\) and lowered with an acceleration \(4.9 text{ m s}^{-2}\) then the ratio of tensions in the thread in both cases will be: (1998)
4. A monoatomic gas at pressure $P_1$ and $V_1$ is compressed adiabatically to $\frac{1}{8}\text{th}$ its original volume. What is the final pressure of the gas? (2010 Mains)
5. 36. If the number of turns per unit length of a coil of solenoid is doubled, the self-inductance of the solenoid will: (1991)