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CBSE Class 11-science Answered

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
answered-by-expert Expert Answer
Hooks law states that for small deformations the stress and strain are proportional to each other.
 
Thus, stress begin mathsize 14px style proportional to end style 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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