Question

The temperature of a wire is doubled. The Young's modulus of elasticity

• A. Will decrease
• B. Will also double
• C. Will become four times
• D. Will remain the same

Hint:

When temperature changes, it can affect the atomic structure of materials and, consequently, their mechanical properties, such as Young's modulus. Typically, increased temperature leads to decreased Young's modulus.

Answer 1

The Correct Option is A

Young's modulus of elasticity is given by the formula: \[ Y = \frac{\text{Stress}}{\text{Strain}} \] 
Stress is the force per unit area, while strain is the relative deformation. 
The Young's modulus of a material depends on the temperature and material properties. 
When the temperature of the wire is increased, the material undergoes thermal expansion, and the atomic vibrations within the wire also change. Generally, an increase in temperature leads to a decrease in Young's modulus because the atomic bonds become weaker, reducing the material's ability to resist deformation. 
Thus, as the temperature is doubled, the Young's modulus of elasticity will decrease.