As we've discussed, one model of material deformation links stress and strain
by a material constant called a modulus. For a material under lengthwise
stress (tension or compression), this is Young's modulus (Y) and the relation
may be stated as:
The data below was collected for five different materials using tools which
allowed for the direct measurement of the stress and strain. By applying the
model above, rank the Young's modulus for each of these five materials from
largest to smallest.
Material
Stress (kN/m)
775
900
Strain
7.34E-06
1.86E-02
2.55E-05
3.95E-03
2.53E-05
1200
1500
2500
Materi3 2. Material 5. Material 3. Material 1. Material 4
Material 4. Material 3. Materisi 2. Material S. Material 1
Material 1. Material S. Material 3, Varari 31 Matars: 2
Material 5. Materia 2. Material 3, Material 4. Material 4
Material 3, Material 1. Materiál 5. Material Material

Material 1 will be having the largest Young's modulus followed by Material 5, Material 3, Material 2 and Material 4.

Option C.

Explanation:

Materials can be classified based on their elastic nature. Elasticity is the property of an object to return to its original state after deformation is removed. So the deformation can be occurred on that object due to the force or stress acting on that object.

As per Hooke's law, the stress acting on any object is directly proportional to the deformation or strain experienced by that object. And the constant of proportionality is termed as Young's modulus.

Young's modulus = Stress/Strain

So from the table, the young's modulus for all the materials are found as below.

Material 1 = Stress/Strain = 775/7.34E-06 = 106 ×

Material 2 = 900/1.86E-02=48400

Material 3 = 1200/2.55E-05 = 471×

Material 4 = 1500/3.95E-03=389×

Material 5 = 2500/2.53E-05=988×

So as per the given calculations, Material 1 will be having the largest Young's modulus followed by Material 5, Material 3, Material 2 and Material 4.