Question

Hooke’s law, the constant of proportionality signifies

Answer 1

When English scientist Robert Hooke was studying springs and elasticity in the 19th century, he observed that numerous materials had a similar feature when the stress-strain connection was analyzed. The force required to stretch the material was proportional to the extension of the material in a linear region. This is known as Hooke's Law.

Complete answer:
Hooke's law is a law, which asserts that the displacement or magnitude of deformation is directly proportional to the deforming force or load for relatively minor deformations of an object. The item returns to its original shape and dimensions when the load is removed under these conditions. The fact that minor displacements of their constituent molecules, atoms, or ions from normal locations are proportional to the force that generates the displacement explains the elastic behavior of solids according to Hooke's equation.
Hooke’s law:
According to Hooke's law, within the elastic limit of the material, the strain is proportional to the applied stress.
In simple words, ${\text{Stress}} \propto {\text{strain}}$
${\text{Stress = modulus of elasticity x strain}}$
Hooke’s Law can be:
$F = - kx$
$F$ - force
$x$ - extension length
$k$ -The spring constant is a proportionality constant $\dfrac{N}{m}$.

Note:
This law had numerous practical uses, including the development of a balancing wheel, which enabled the development of mechanical clocks, portable timepieces, spring scales, and manometers (aka. the pressure gauge). Furthermore, because it is a near approximation of all solid bodies (as long as the forces of deformation are minimal enough), Hooke's law is credited to several disciplines of science and engineering. Seismology, molecular mechanics, and acoustics are among these sciences.