Question

The ratio of tensile stress to the longitudinal strain is defined as _________

Answer 1

Tensile Stress and Longitudinal Strain.

1. Tensile Stress- It can be defined as, the magnitude F of a force applied along an elastic rod divided by the rod's cross-sectional area A in a perpendicular to the applied force direction.
2. Longitudinal Strain- The strain is called longitudinal strain when the length of a body changes as a result of the applied force.

Explanation:

1. Young's modulus is a measure of a material's capacity to overcome length differences when the body is under longitudinal tension or compression.
2. The ratio of longitudinal stress to strain can be used to determine young's modulus.
3. Young's modulus is a numerical constant.
4. An example of this is a metal rod that, after being stretched or squeezed lengthwise, returns to its original length.
5. It is also called the modulus of elasticity.
6. Young's modulus can be calculated as,

$E=\frac{\sigma }{\epsilon }$ ; where $E$ is young's modulus, $\sigma$ is uni-axial stress, or uni-axial force per unit surface, and $\epsilon$ is the strain or proportional deformation.

Hence, the correct answer is ‘Young’s Modulus'.