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Question: 1
Q no: 5 (A) Derive the formula of Young Modulus.?<div><br></div>
Answer: 1
1-24Young's Modulus:
The ratio of stress and strain is a constant within the elastic limit , this constant is called the young's Modulus.
Mathematical Form:
Consider a long bar of length Lo and cross- sectional area A let an external force F is equal to weight stretches it such that the stretched length becomes L.
Mathematically.
Young's Modulus = Y = Stress/Tensile strain
Let ▲L =L-Lo
Since-
Stress = Force/Area =F/A
And
Tensile strain = L-Lo/Lo= ▲L/Lo
As
Young's modulus = Y = Stress/Tensile strain
=F/A x Lo/▲L
= F x Lo/A x▲L