Question

In determination of young's modulus of elasticity of wire, a force is applied and extension is recorded. Initial length of wire is $1m$. The curve between extension and stress is depicted then young's modulus of wire will be :

• A. $2\times {10}^{9}N/m^2$
• B. $1\times {10}^{9}N/m^2$
• C. $2\times {10}^{10}N/m^2$
• D. $1\times {10}^{10}N/m^2$

Answer 1

The correct option is A $2\times {10}^{9}N/m^2$

$\gamma =\frac{stress}{strain}$

$=\frac{4000\times {10}^3}{\frac{\left(2\times {10}^{-3}\right)}{1}}$

$\gamma =2\times {10}^{9}N/m^2$

Hence,

option $\left(A\right)$ is correct answer.