Hooke's Law
Within the elastic limit, stress is directly proportional to strain.
$$\text{Stress} = Y \times \text{Strain}$$
where $Y$ is Young's modulus. This relationship describes the linear elastic response of solids.
Detailed ISC Class 11 Physics chapter covering elasticity, stress, strain, elasticity moduli, fluid pressure, Pascal's law, Archimedes principle, viscosity, surface tension, and capillarity with numerical and concept-based practice.
This chapter is central to understanding the physical world and forms the foundation for higher-level physics, engineering, and scientific reasoning.
Within the elastic limit, stress is directly proportional to strain.
$$\text{Stress} = Y \times \text{Strain}$$
where $Y$ is Young's modulus. This relationship describes the linear elastic response of solids.
Young's modulus: $Y = \frac{FL}{A\Delta L}$
Bulk modulus: $K = -V \frac{dP}{dV}$
Shear modulus: $\eta = \frac{F}{A\theta}$
These constants quantify resistance to different kinds of deformation.
Pressure in a liquid increases with depth due to the weight of the liquid above:
$$P = h\rho g$$
Pressure acts equally in all directions at a point in a fluid.
When pressure is applied to a confined fluid, the pressure change is transmitted equally and undiminished to every point in the fluid.
The buoyant force on a body immersed in a fluid equals the weight of the displaced fluid.
$$F_b = \rho_{fluid} V_{disp} g$$
Viscosity is the property of a fluid that opposes relative motion between adjacent layers. For laminar flow,
$$F = \eta A \frac{dv}{dx}$$
For a small sphere moving at speed $v$ in a viscous fluid, Stokes' law gives
$$F = 6\pi \eta r v$$
Surface tension is the force acting along the surface of a liquid per unit length:
$$T = \frac{F}{L}$$
It explains spherical droplets, capillary rise, and the meniscus shape in tubes.
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