Question

The law which states that within elastic limits strain produced is proportional to the stress producing it is known as

• A. Bernoulli’s law
• B. Hooke’s law
• C. Stress law
• D. Poisson’s law

Hint:

Hooke’s law is fundamental in materials science and mechanics, especially for materials that exhibit elastic behavior.

Answer 1

The Correct Option is B

Step 1: Understanding Hooke’s Law
Hooke's law states that the strain produced in a material is directly proportional to the applied stress within the elastic limit.
Mathematically, it is given by: \[ \sigma = E \varepsilon \] Where:
\( \sigma \) is the stress,
\( E \) is the Young's Modulus (a constant for the material),
\( \varepsilon \) is the strain.

Step 2: Other Laws for Comparison
Bernoulli’s law deals with the conservation of energy in flowing fluids.
Poisson’s law relates to the ratio of lateral strain to longitudinal strain when a material is stretched.

Step 3: Conclusion
Thus, Hooke’s law describes the relationship between stress and strain within the elastic limit.