Physics Elasticity ( Mechanical Properties of Solids ) Young’s Modulus and Breaking Stress Single Correct MCQ
Published on: September 12, 2026

The relation between $\gamma, n$ and K for a elastic material is

A
$\frac{1}{\eta} = \frac{1}{3 \gamma} + \frac{1}{9 K}$
B
$\frac{1}{K} = \frac{1}{3 \gamma} + \frac{1}{9 \eta}$
C
$\frac{1}{\gamma} = \frac{1}{3K} + \frac{1}{9\eta}$
D
$\frac{1}{\gamma} = \frac{1}{3 \eta} + \frac{1}{9 K}$

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Text Solution

Verified by Experts
The correct answer is:
A
To determine the relation between stress and strain for an elastic material, we refer to Hooke's Law, which states that the stress is proportional to the strain in a linear elastic material. This is mathematically represented as:
$$ ext{Stress} (\sigma) = E \cdot \text{Strain} (\epsilon) $$
where \(E\) is the modulus of elasticity (Young's modulus).
In the context of the options provided, Option A represents this relation with the form of the equation similar to Hooke's Law, confirming that it is the correct answer.

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