Question

A wire increases it's length by 10^-3 of it's lenght when a stress of 10^8 is applied to it . What is it's Young Modulus of material of the wire .

Answer 1

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Given in the question :-

• Stress => 10^8 N/m^2

• Longitudnal Strain => 10^-3

♦ Young Modulus => Y = Stress/Strain

Y =
$\frac{10 {}^{8} }{10 {}^{ - 3} } \\ = > \: \: 10 {}^{11}$


Young Modulus => 10^11 N/m^2


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Answer 2

Young's modulus will be $10^{11}N/m^2$

Explanation:

Let the length of the of the wire is l

Then change in length $\Delta l=10^{-3}l$

So strain will be equal to $=\frac{\Delta l}{l}=\frac{10^{-3}l}{l}=10^{-3}$

Stress is given as stress $=10^8N/m^2$

We know the formula of young's modulus

$Young's\ modulus=\frac{stress}{strain}=\frac{10^8}{10^{-3}}=10^{11}N/m^2$

So young's modulus will be $10^{11}N/m^2$

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