Which of the following is/are correct regarding Hooke's law?

  1. it is applicable only for solids
  2. it is not a universal principle
  3. beyond elastic limit, Hook's law is not applicable
  4. All of the above are correct

Answer (Detailed Solution Below)

Option 4 : All of the above are correct
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Detailed Solution

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CONCEPT:

Hooke's Law: For small deformations, the stress is proportional to the strain produced. 

Stress ∝ strain

stress = k × strain

where k is the proportionality constant.

Limits of Hooke's Law:

  1. Hooke's law is applicable for small deformations only. (This is why elastomers don't follow Hooke's law)
  2. Hooke's law is applicable only for solids (not for liquids or gases).
  3. Hooke's law is not a universal law because it works up to the proportionality limit only.
  4. It does not work after the elastic limit point because after that point the curve is not linear.

EXPLANATION:

Option 1: Hooke's law is applicable only for solids (not for liquids or gases).

So this is a correct statement.

Option 2: Hooke's law is not a universal law because it works up to the proportionality limit only.

So this is a correct statement.​

Option 3: It does not work after the elastic limit point because after that point the curve is not linear.

So this is a correct statement.

So all the statements are correct.

Hence the correct answer is option 4.

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