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JEE · NEET Physics

Class 11 · Chapter 10

Mechanical Properties of Fluids

Overview, notes, short notes, formula sheet, daily practice problems, previous year questions, and videos for this chapter — all in one place.

Mechanical Properties of Fluids JEE Notes

4 min read

Fully worked, JEE-style problems on fluids in accelerating containers, Bernoulli's theorem, terminal velocity, and surface tension — going a level beyond the regular DPP, into the multi-step setups JEE Main and JEE Advanced actually test.

Illustration 1 — Free Surface Tilt in a Horizontally Accelerating Container

A container of liquid accelerates horizontally at 5 m/s². Find the angle the free surface makes with the horizontal. (g = 10 m/s²)

Illustration 2 — Pressure Difference in an Accelerating Liquid

A container of water (density 1000 kg/m³) accelerates horizontally at 5 m/s². Find the pressure difference between two points on the bottom, 2 m apart along the direction of acceleration.

Illustration 3 — Finding Flow Speed from a Pressure Difference (Bernoulli)

Water (density 1000 kg/m³) flows through a horizontal pipe with a pressure drop of 4000 Pa between two points at the same height, where the flow speeds are negligible at the wider section. Find the flow speed at the narrower section.

Illustration 4 — Terminal Velocity Using Stokes' Law

A small steel ball of radius 3 mm and density 8000 kg/m³ falls through oil of density 1000 kg/m³ and viscosity 0.1 Pa·s. Find its terminal velocity. (g = 10 m/s²)

Illustration 5 — Excess Pressure: Soap Bubble vs. Liquid Drop

A soap bubble and a liquid drop, both of radius 1 mm, are formed from a liquid of surface tension 0.03 N/m. Find the excess pressure inside each.

Illustration 6 — Capillary Rise

Water (surface tension 0.07 N/m, density 1000 kg/m³) rises in a capillary tube of radius 0.2 mm. Find the height of rise, assuming complete wetting (contact angle ≈ 0°). (g = 10 m/s²)

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