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State Hook's law on what factors does the modulus of elasticity of a subtance depend?
Asked by souravkheto234 | 17 Jun, 2021, 12:13: PM
Hooks law states that for small deformations the stress and strain are proportional to each other.

Thus, stress  strain

stress = Y × strain .......................... (1)

where Y is the proportionality constant and is known as modulus of elasticity.

Stress is  restoring force per unit area . If F is the force applied and A is the area of cross section of the body,

Magnitude of the stress = F/A  ...................(2)

Longitudinal strain is  change in the length ΔL to the original length L of the body .

Longitudinal strain = ΔL / L  ............................(3)

Using above equations (1), (2) and (3) , we get modulus of elsticity as

Y =  ( F / A ) / ( ΔL / L )

From above expression, we know , modulus of elsticity depends on what factors are .

Answered by Thiyagarajan K | 17 Jun, 2021, 01:01: PM

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