Properties of Solids and Liquids for JEE

• Stress = F/A, strain = ΔL/L, Young's modulus Y = stress/strain
• Pressure at depth h: P₀ + ρgh
• Continuity: A₁v₁ = A₂v₂
• Excess pressure in a drop: 2T/r; in a soap bubble: 4T/r

• Bernoulli: P + ½ρv² + ρgh = constant
• Stokes' law F = 6πηrv; terminal velocity v = 2r²(ρ−σ)g / 9η
• Capillary rise h = 2T cosθ / ρgr
• Heat conduction: dQ/dt = kAΔT / L

Printable Properties of Solids and Liquids formula sheet: formulas, key ideas and traps on one page. Save it as a PDF for offline revision.

• Using 2T/r for a soap bubble (two surfaces, so 4T/r)
• Forgetting buoyancy in terminal velocity
• Mixing linear and volume expansion coefficients (γ = 3α)

Appears frequently. Many short formula-based questions here. A good formula sheet pays off.

Prerequisites: Laws of Motion and Friction.

Chapter names follow the current rationalised NCERT textbooks. Read these sections before solving PYQs.

Question. A U-tube has two vertical limbs of radii r₁ = 1 mm and r₂ = 0.5 mm connected at the bottom. It contains water with surface tension σ = 0.07 N/m, contact angle θ = 0°, and density ρ = 1000 kg/m³. (a) Find the difference in water levels between the two limbs. (b) If the temperature rises by 50°C, the coefficient of volume expansion of water is β = 2 × 10⁻⁴ /°C, and surface tension decreases by 0.15% per °C, find the new difference in levels. Take g = 10 m/s².

This example was solved twice independently and both solutions agree.

Full-chapter free lectures picked from YouTube search results by views, from established JEE channels (mostly in Hinglish). Use the subtopic list to jump straight to the part you need (timestamps come from each video's own chapter list). Watch one, then solve PYQs the same day.

• Mechanical Properties of Solids in 1 Shot: All Concepts & PYQs Covered || JEE Main & Advanced — JEE Wallah, 3:34:15
  Jump to a subtopic (12)

  • 00:00 Introduction
  • 04:45 Type of Material
  • 21:36 Stress & its types
  • 42:33 Strain and type of strain
  • 55:08 Hooks Experiment
  • 1:00:25 Stress/Stress Graph
  • 1:18:00 Modulus of Elasticity
  • 1:28:38 Spring Equivalent
  • 1:42:30 Energy Density
  • 1:45:45 Poison’s ratio
  • 2:02:33 Question practice
  • 3:34:05 Thankyou bachhon!
• Fluid Statics - Part 1 | Complete REVISION for JEE Physics | IIT JEE | Mohit Sir (IIT KGP) — Eduniti - Physics by Mohit Goenka_IITKGP, 39:09
  Jump to a subtopic (11)

  • 00:00 Introduction
  • 00:34 Topics to be discussed
  • 02:50 Density, Relative density & Pressure units
  • 04:47 Pressure Variation (Vessel at rest)
  • 09:52 Free Surface (accelerated system)
  • 13:25 Pressure variation (accelerated system)
  • 21:10 Pascal's Law (Hydraulic Lift)
  • 24:40 Barometer
  • 26:58 Force on Side walls
  • 29:06 Torque on Side walls
  • 29:51 Archimedes Principle (Floatation & Center of Buoyancy)

• 21 JEE Main 2026 PYQs on Properties of Solids and Liquids, with solutions.
• Read the chapter in NCERT textbooks (official, free), then solve its NCERT Exemplar (official, free) questions.
• Chapter-wise past questions: JEE Main and Advanced PYQs and question bank.
• Timed practice tests: NTA Abhyas practice tests (official, free) and our free mock tests.
• See it move: interactive simulation.