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The ratio of stress to strain according to Hooke's law is

The ratio of stress to strain according to Hooke's law is Correct Answer constant

The correct answer is option 4) i.e. constant

CONCEPT:

  • Hooke's law: Hooke’s law states that the strain of a material is proportional to the applied stress within the elastic limit of that material.

The stress vs strain graph for a solid material is as shown

  • The limit of proportionality is the point up to which a material obeys Hooke's law i.e. the stress will be proportional to strain.
  • The ratio of stress by strain is called the modulus of elasticity.
  • Elastic limit is the point beyond which if an object is stressed, it will not regain its original shape.
  • The yield point is that point beyond which the object snaps.

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EXPLANATION:

  • According to Hooke’s law strain of a material is proportional to the applied stress within the elastic limit of that material. 
  • Therefore, the ratio of stress to strain is constant within the limits of Hooke's law.

Related Questions

From an alloy, two specimens are machined and tested separately under tension and compression. The engineering stress-strain curves as well as the true stress-true strain curves for tension and compression are plotted in the same diagram. Identify the correct statements:
P. The engineering stress-strain curves in tension and compression are identical.
Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.
R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.
S. The true stress-true strain curve in tension and compression are identical.
The true strain rate is given as ϒ, and conventional strain rate is given as ε. The engineering strain is equal to e. The relationship between conventional strain rate and true strain rate is _______
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3. It is natural and healthy to maintain optimal level of stress.
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