Question

With rise in temperature the young's modulus of elasticity

• A. Increases
• B. Decreases
• C. Remaining constant
• D. None of these

Answer 1

The Correct Option is B

The question explores how the Young's modulus of elasticity changes with temperature. To answer, let's understand the relationship between temperature and Young’s modulus.

1. Understanding Young's Modulus:
   • Young's modulus is a measure of the stiffness of a solid material. It defines the relationship between stress (force per unit area) and strain (proportional deformation) in a material.
   • Mathematically, it is expressed as: E = \frac{\sigma}{\epsilon} where E is Young's modulus, \sigma is stress, and \epsilon is strain.
2. Effect of Temperature:
   • When the temperature of a solid increases, the atoms within the material vibrate more vigorously.
   • This increased atomic vibration generally leads to a reduction in the bonding forces between atoms, making the material less stiff.
   • As a result, the material becomes more easily deformable or "softer," effectively decreasing its Young's modulus.
3. Conclusion:
   • From the above analysis, it is clear that the Young's modulus typically decreases with a rise in temperature.
   • Thus, the correct answer is: Decreases.

The given options are:

• Increases - Incorrect, as explained, increased temperature usually causes a decrease in stiffness.
• Decreases - Correct, as increased atomic movement reduces the material's stiffness.
• Remaining constant - Incorrect, since physical properties are generally affected by temperature changes.
• None of these - Incorrect, because one of the given options is accurate.

Therefore, the correct option is \textbf{Decreases}.