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Question

What is modulus of elasticity? Write it's SI units.mention the two factors on which it depends.

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Solution

Dear Student
Modulus of elasticity or coefficient of elasticity of a body is defined as the ratio of the stress to the corresponding strain produced in the body, within the elastic limit.
For a given material there can be different types of modulus of elasticity depending upon the stress applied and the resulting strain produced.
1. Young Modulus of elasticity (Y): It is defined as the ratio of normal stress to the longitudinal strain within the elastic limit.
2. Bulk ​ Modulus of elasticity (B) : It is defined as the ratio of normal stress to the volumetric strain, within the elastic limit.
3. Modulus of Rigidity or Shear modulus of elasticity (G) : It is defined as the ratio of tangential stress to the shearing strain, within the elastic limit.
SI unit of modulus of elasticity is N/m2.
Tow factors on which modulus of elasticity depends is material of the body and its temperature.

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