## Hookes Law – Class 11 | Chapter – 9 | Physics Short Notes Series PDF for NEET & JEE

Hookes Law: Hooke’s Law is a principle in physics that describes the relationship between the force applied to a spring and the resulting deformation or change in length of the spring. This law was named after Robert Hooke, a 17th-century English physicist, who first proposed it. Hooke’s Law is valid only for small deformations of the spring, where the spring returns to its original shape when the force is removed. If the deformation is too large, the spring may not return to its original shape and may become permanently deformed or even break.

## Hookes Law

According to Hooke’s Law, the force required to extend or compress a spring by a certain distance is directly proportional to that distance. Mathematically, this relationship can be expressed as:

F = -kx

Where,

• F is the force applied to the spring
• x is the displacement or deformation of the spring from its original length
• k is a constant known as the spring constant or stiffness constant.
• The negative sign in the equation indicates that the force is in the opposite direction of the displacement

## Graph of Hookes Law

The graph of Hookes Law is a straight line passing through the origin (0,0) when force is plotted on the y-axis and displacement or deformation is plotted on the x-axis. The slope of the line represents the spring constant (k), which is the proportionality constant in the equation F = -kx. In this graph, the force applied to the spring (F) is plotted on the y-axis and the displacement or deformation of the spring (x) is plotted on the x-axis. The slope of the line represents the spring constant (k). As you can see, the graph is a straight line passing through the origin, which indicates that the force is directly proportional to the displacement or deformation of the spring, as described by Hooke’s Law.

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