In the elastic range, Hooke's Law states that strain is proportional to stress.

In the elastic range, Hooke's Law states that strain is proportional to stress.

• A. False
• B. True
• C. Only at high temperatures
• D. Only under plastic deformation

Answer: (B)

In the elastic range, the material responds in a linear, reversible way: the deformation (strain) is directly proportional to the applied load (stress). This is Hooke’s Law, which can be written as stress equals Young’s modulus times strain. So, strain scales with stress with a constant proportionality—the reciprocal of Young’s modulus—while the material remains within its elastic limit and returns to its original shape when the load is removed. The statement is not about high temperatures or plastic deformation. Temperature can affect the stiffness (Young’s modulus) somewhat, but as long as the material is still in the elastic range, the proportional relationship holds. Beyond the yield point, during plastic deformation, the relationship is no longer linear, so Hooke’s Law does not apply in that region.

In the elastic range, the material responds in a linear, reversible way: the deformation (strain) is directly proportional to the applied load (stress). This is Hooke’s Law, which can be written as stress equals Young’s modulus times strain. So, strain scales with stress with a constant proportionality—the reciprocal of Young’s modulus—while the material remains within its elastic limit and returns to its original shape when the load is removed.

The statement is not about high temperatures or plastic deformation. Temperature can affect the stiffness (Young’s modulus) somewhat, but as long as the material is still in the elastic range, the proportional relationship holds. Beyond the yield point, during plastic deformation, the relationship is no longer linear, so Hooke’s Law does not apply in that region.