JEE Main & Advanced / Physics / Chapter 12

Fluid Mechanics

Turn fluid statics and dynamics into solvable JEE patterns: pressure, buoyancy, continuity, Bernoulli, viscosity, and surface tension.

Original Notes2 Core SectionsJEE Revision Style
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JEE Intro

How to Think About Fluid Mechanics

Turn fluid statics and dynamics into solvable JEE patterns: pressure, buoyancy, continuity, Bernoulli, viscosity, and surface tension.

This chapter is written as original Learn at My Place teaching copy. The aim is to give you the JEE decision-making layer: what equation to trust, what approximation is valid, and where exam traps usually appear.

Read the full note once, then revisit the quick revision block before solving your own practice questions.

Problem Method

How to Solve Fluid Mechanics Questions

1. Model the Situation

Draw the body, path, field, graph, or interaction first. Label known quantities and choose sign convention before writing equations.

2. Pick the Governing Law

Decide whether the problem is about conservation, force balance, energy, momentum, fields, or graph interpretation.

3. Check the Edge Case

Verify units, limiting values, direction, and whether approximation assumptions are valid for JEE Main and Advanced options.

Section A

Notes: Fluid Mechanics

Original teaching copy for Learn at My Place

1. Fluid Statics, Pressure, and Buoyancy

In a static fluid at depth hh below the free surface:

P=P0+ρghP = P_0 + \rho gh
Pressure at a point is the same in all directions, which explains Pascal's law.

Archimedes' principle gives buoyant force:

Fb=ρfluidVdispgF_b = \rho_{fluid}V_{disp}g
A body floats when buoyant force balances weight.

2. Continuity and Bernoulli Principle

For steady incompressible flow, volume flow rate is constant:

A1v1=A2v2A_1v_1 = A_2v_2
So fluid speed increases when area decreases.

Along a streamline for ideal flow:

P+12ρv2+ρgh=constantP + \frac12\rho v^2 + \rho gh = \text{constant}
This is the basis of Venturimeter, Torricelli's theorem, and lift-related JEE questions.

Quick Revision

Last 5-Minute Recall

JEE exam rule: First identify the governing principle. Most errors happen because students choose the wrong framework before they start the algebra.
Pressure and hydrostatic variation
Buoyancy and Archimedes' principle
Equation of continuity
Bernoulli's equation and flow-speed reasoning
Verified question bank

Fluid Mechanics questions with answers

Open any of these 100 quality-checked JEE questions to review all four options, the correct answer, and the worked explanation.

  1. Question 1 · EasyPressure
  2. Question 2 · EasyPressure
  3. Question 3 · EasyPascal's Law
  4. Question 4 · EasyBuoyancy
  5. Question 5 · MediumBuoyancy
  6. Question 6 · MediumBuoyancy
  7. Question 7 · MediumPressure
  8. Question 8 · MediumPressure
  9. Question 9 · MediumBuoyancy
  10. Question 10 · MediumPressure
  11. Question 11 · HardBuoyancy
  12. Question 12 · HardPressure
  13. Question 13 · HardStability of Floating Bodies
  14. Question 14 · HardBuoyancy
  15. Question 15 · HardPressure
  16. Question 16 · HardBuoyancy
  17. Question 17 · HardPressure
  18. Question 18 · HardBuoyancy
  19. Question 19 · HardPressure
  20. Question 20 · HardBuoyancy
  21. Question 21 · EasyContinuity
  22. Question 22 · EasyBernoulli's Theorem
  23. Question 23 · EasyBernoulli's Theorem
  24. Question 24 · MediumVenturimeter
  25. Question 25 · MediumTorricelli's Theorem
  26. Question 26 · MediumContinuity
  27. Question 27 · MediumBernoulli's Theorem
  28. Question 28 · MediumTorricelli's Theorem
  29. Question 29 · MediumSurface Tension
  30. Question 30 · MediumViscosity
  31. Question 31 · HardSurface Tension
  32. Question 32 · HardCapillarity
  33. Question 33 · HardViscosity
  34. Question 34 · HardTerminal Velocity
  35. Question 35 · HardBernoulli's Theorem
  36. Question 36 · HardSurface Tension
  37. Question 37 · HardViscosity
  38. Question 38 · HardSurface Tension
  39. Question 39 · HardCapillarity
  40. Question 40 · HardTorricelli's Theorem
  41. Question 41 · EasySurface Tension
  42. Question 42 · EasySurface Tension
  43. Question 43 · EasyViscosity
  44. Question 44 · MediumReynold's Number
  45. Question 45 · MediumSurface Tension
  46. Question 46 · MediumCapillarity
  47. Question 47 · MediumViscosity
  48. Question 48 · MediumTerminal Velocity
  49. Question 49 · MediumSurface Tension
  50. Question 50 · MediumCapillarity
  51. Question 51 · HardViscosity
  52. Question 52 · HardTerminal Velocity
  53. Question 53 · HardSurface Tension
  54. Question 54 · HardReynold's Number
  55. Question 55 · HardCapillarity
  56. Question 56 · HardSurface Tension
  57. Question 57 · HardViscosity
  58. Question 58 · HardTerminal Velocity
  59. Question 59 · HardCapillarity
  60. Question 60 · HardSurface Tension
  61. Question 61 · EasyPressure
  62. Question 62 · EasyBuoyancy
  63. Question 63 · MediumBernoulli's Theorem
  64. Question 64 · MediumContinuity
  65. Question 65 · MediumTorricelli's Theorem
  66. Question 66 · MediumSurface Tension
  67. Question 67 · MediumViscosity
  68. Question 68 · MediumPressure
  69. Question 69 · HardBernoulli's Theorem
  70. Question 70 · HardSurface Tension
  71. Question 71 · HardCapillarity
  72. Question 72 · HardBernoulli's Theorem
  73. Question 73 · HardViscosity
  74. Question 74 · HardPressure
  75. Question 75 · HardTerminal Velocity
  76. Question 76 · HardSurface Tension
  77. Question 77 · HardBernoulli's Theorem
  78. Question 78 · HardPressure
  79. Question 79 · HardViscosity
  80. Question 80 · HardBuoyancy
  81. Question 81 · HardFluid Dynamics Advanced
  82. Question 82 · HardBernoulli's Theorem
  83. Question 83 · HardPressure
  84. Question 84 · HardSurface Tension
  85. Question 85 · HardViscosity Advanced
  86. Question 86 · HardCapillarity Advanced
  87. Question 87 · HardBernoulli's Theorem
  88. Question 88 · HardPressure Advanced
  89. Question 89 · HardTorricelli Advanced
  90. Question 90 · HardSurface Tension Advanced
  91. Question 91 · HardViscosity Advanced
  92. Question 92 · HardFluid Dynamics Advanced
  93. Question 93 · HardBernoulli's Theorem
  94. Question 94 · HardPressure Advanced
  95. Question 95 · HardFluid Statics Advanced
  96. Question 96 · HardSurface Tension Advanced
  97. Question 97 · HardViscosity Advanced
  98. Question 98 · HardBernoulli's Theorem
  99. Question 99 · HardCapillarity Advanced
  100. Question 100 · HardFluid Dynamics Advanced
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