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Pressure

NEET > Physics > Properties of Bulk Matter > Fluid Mechanics > Pressure

Unit Progress

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Overview content

Topic 1 of 14 • Chapter: Fluid Mechanics • Physics

Pressure – Complete Notes, Revision, Important Questions & Downloads

This opening Fluid Mechanics topic has two TOC blocks: Hydrostatic Pressure and Pressure Units and Dimensions. NEET tests this topic through direct use of P = F/A, hydrostatic pressure at depth, gauge pressure, comparison of pressures in communicating vessels, and conceptual statements such as pressure being independent of container shape at the same depth. The OCR builds the topic from thrust, then defines pressure, then moves to atmospheric and gauge pressure before stating the hydrostatic formula P = P0 + hρg. Once those relations are organised, most questions become a choice between absolute pressure, gauge pressure, and pressure difference at equal or unequal depths.

⬇ Download Notes PDFView Important Questions →
Foundation TopicHydrostaticsDepth Dependent
Expected QuestionsQ
1
NEET commonly uses pressure in direct hydrostatic numericals or as the first step inside a larger fluid-mechanics question.
Time Required⏱
45 min
About 20 minutes for definitions and units, and 25 minutes for hydrostatic and gauge-pressure numericals at different depths.
Difficulty⚡
Easy-Medium
The formulas are basic, but students often confuse absolute pressure with gauge pressure or assume container shape changes pressure at the same depth.
NRI USA Curriculum GapUS
Gap
Introductory courses often teach pressure qualitatively, while NEET expects quick switching between thrust, absolute pressure, atmospheric pressure, and gauge pressure with correct units.
3Subtopics
4Practice Questions
2Free Downloads
45 minPrep Time
⬇ Get Free Downloads

NEET Weightage - Pressure

Fluid Mechanics
NEET YearQuestions from this TopicBarMarks
NEET 20240
 
0 Q
0
NEET 20231
 
1 Q
4
NEET 20220
 
0 Q
0
NEET 20210
 
0 Q
0
NEET 20200
 
0 Q
0
NEET 20190
 
0 Q
0
Total (2019-2024)1 4
Pressure is normal force per unit area, while thrust is the total normal force on the surface.
Hydrostatic pressure at depth depends only on h, ρ, and g, not on container shape or total quantity of liquid.

Absolute pressure at depth is P0 + hρg, whereas gauge pressure is only hρg.

Pressure at the same horizontal level in a connected liquid at rest must be the same, otherwise the liquid would not remain in equilibrium.
📊
0.2
Avg Questions / Year
🎯
4
Total Marks (6 yrs)
📈
Mixed
Pattern
⚠️
Easy-Medium
Difficulty

Pressure Strategy for NEET

1

Separate thrust from pressure first If the question gives a force on a surface, decide whether it wants total thrust or force per unit area. Many one-line errors begin by substituting into the wrong physical quantity.

2

Mark atmospheric pressure explicitly Write whether the asked quantity is absolute pressure P, atmospheric pressure P0, or gauge pressure P - P0. This prevents using P = hρg where the problem actually needs P0 + hρg.

3

Use depth, not vessel shape For static liquids, pressure at the base depends on depth and density, not on how wide or narrow the vessel becomes above that point.

4

Check equality at the same level If two points in the same liquid are at the same horizontal level and the liquid is at rest, their pressures must be equal. This is a quick way to solve communication problems.

5

Keep units and dimensions ready Pressure may be asked in pascal, bar, or torr, and the dimensional formula [ML^-1T^-2] is a common direct objective check.

Pressure Study Materials

PDF · Cheat Sheet · MCQ Set · PYQ
📘
Full Notes - Pressure
Topic notes covering thrust, hydrostatic pressure, atmospheric pressure, gauge pressure, and the container-shape independence rule.
3 subtopicsHydrostaticsUnits and dimensions
Download Notes
📗
Formula Sheet - Pressure
Quick sheet for P = F/A, P = P0 + hρg, gauge pressure, unit conversions, and dimensional formulae.
P = F/AP0 + hρg1 atm set
Download Formula Sheet
📙
MCQ Practice Questions - Pressure
MCQs focused on depth dependence, gauge pressure, and why equal depths in a static fluid give equal pressure.
4 core MCQsDepth checksStatic liquid
Download MCQ Set
📒
Previous Year Questions (PYQ) - Pressure
Revision-focused set for direct hydrostatic pressure questions and unit or conceptual checks on the opening fluid-mechanics topic.
Quick revisionCore hydrostaticsUnit conversion
Download PYQ Set

Pressure Subtopics

2-Column Table
Column AColumn B
Hydrostatic Pressure↗
Pressure Units and Dimensions↗
Density of substance↗

Rapid Revision - Pressure

Concept → Trap → Example

1) Hydrostatic Pressure

Depth and density

Pressure is the normal thrust per unit area, P = F/A. For a point at depth h below the surface of a liquid, absolute hydrostatic pressure is P = P0 + hρg and gauge pressure is hρg.

  • Pressure acts in all directions at a point in a static liquid.
  • It depends on depth, liquid density, and g, not on vessel shape or total amount of liquid.
  • The common trap is to quote hρg when the question asks for absolute pressure including atmospheric pressure.
Example (NEET-style)At 0.5 m depth in water, gauge pressure is 1000 × 9.8 × 0.5 = 4900 Pa, while absolute pressure is atmospheric pressure plus 4900 Pa.

2) Pressure Units and Dimensions

Unit conversions and formula check

SI unit of pressure is N/m^2 or pascal, CGS unit is dyne/cm^2, and the dimensional formula is [ML^-1T^-2]. The OCR also lists 1 atm = 1.01 × 10^5 Pa = 1.01 bar = 760 torr.

  • Relative comparisons in hydrostatics usually use pascal, but exam statements may switch to bar or torr.
  • Dimensional checks connect pressure with stress, bulk modulus, and energy density in mixed chapters.
  • Students often forget that pressure is force divided by area, so one power of length stays in the denominator.
Example (NEET-style)A pressure of 2.02 × 10^5 Pa is approximately 2 atm because one atmosphere is about 1.01 × 10^5 Pa.

US Curriculum Gaps - Pressure

What U.S. Students Usually Miss

Introductory physics often mixes absolute and gauge pressure without exam-speed discipline

NEET questions are short and expect you to identify instantly whether atmospheric pressure is included or cancelled. That distinction is more important here than any long derivation.

  • Absolute pressure uses P0 + hρg.
  • Gauge pressure uses only hρg.

Container-shape independence is often stated verbally but not treated as a testable result

The OCR makes it explicit that pressure at the same depth is identical even when liquid volumes differ across vessels. NEET uses this to separate pressure from thrust or total weight of the liquid column.

  • Equal depth gives equal pressure for the same liquid at rest.
  • Different vessel shapes can still produce different total weights on the base.

Concept IQ Check - Pressure

4 NEET-style MCQs with Answers
1The relation between thrust F, area A and pressure P isHydrostatic Pressure
P = FA
P = F/A
P = A/F
P = F + A
Pressure is defined as normal force per unit area, so P = F/A. The OCR first defines thrust and then divides by the contact area to define pressure. The other options either multiply or invert the relation and therefore destroy the dimensional consistency of pressure as force per unit area.
2Gauge pressure at depth h below the free surface of a liquid of density ρ isHydrostatic Pressure
P0 + hρg
hρg
P0 - hρg
F/A + P0
The OCR defines gauge pressure as P - P0, where P is the absolute hydrostatic pressure at depth. Since P = P0 + hρg, subtracting atmospheric pressure leaves hρg. This distinction matters because many questions ask for pressure relative to atmosphere rather than the full absolute pressure in the liquid.
3If the same liquid is filled to the same height in vessels of different shape, the pressure at the base will beHydrostatic Pressure
greatest in the widest vessel
least in the narrowest vessel
same in all vessels
dependent on total volume only
Hydrostatic pressure depends only on depth, density, and g. The OCR explicitly compares vessels of different shapes and states that the pressure at the base is the same although the weights and volumes of liquid in the vessels may differ. The mistake comes from confusing pressure with total force or total liquid mass.
4The dimensional formula of pressure isPressure Units and Dimensions
[MLT^-2]
[ML^-1T^-2]
[M^0L^-1T^-2]
[ML^-2T^-2]
Since pressure is force divided by area, we start from [F] = [MLT^-2] and divide by [L^2]. That gives [ML^-1T^-2]. Option 1 is only force, option 3 removes mass incorrectly, and option 4 places one extra power of length in the denominator. This is also why pressure shares dimensions with stress and energy density.

Practice Questions - Pressure

Click "Reveal Answer" after attempting
1A force of 200 N acts normally on an area of 0.02 m^2. Find the pressure.
1000 Pa
5000 Pa
10000 Pa
4000 Pa
👁 Reveal Answer
Correct option: 3. Pressure is P = F/A = 200/0.02 = 10000 Pa. This is the simplest thrust-to-pressure conversion and tests whether the area is kept in square metres rather than treated as a linear dimension.
2Find the gauge pressure at a depth of 2 m in water. Take ρ = 1000 kg/m^3 and g = 9.8 m/s^2.
9800 Pa
19600 Pa
1.013 × 10^5 Pa
2.026 × 10^5 Pa
👁 Reveal Answer
Correct option: 2. Gauge pressure is hρg = 2 × 1000 × 9.8 = 19600 Pa. The atmospheric value is not added here because the question asks specifically for gauge pressure, not absolute pressure.
3What is the absolute pressure at the same depth if atmospheric pressure is 1.013 × 10^5 Pa?
1.013 × 10^5 Pa
1.109 × 10^5 Pa
1.209 × 10^5 Pa
1.949 × 10^5 Pa
👁 Reveal Answer
Correct option: 3. Absolute pressure is P0 + hρg = 1.013 × 10^5 + 1.96 × 10^4 = 1.209 × 10^5 Pa approximately. This is the standard follow-up to a gauge-pressure calculation, and it checks whether the atmospheric term is reinserted correctly.
4Convert 2 atm into pascal using the OCR conversion set.
1.01 × 10^5 Pa
2.02 × 10^5 Pa
7.60 × 10^2 Pa
2.00 × 10^3 Pa
👁 Reveal Answer
Correct option: 2. The OCR gives 1 atm = 1.01 × 10^5 Pa. Therefore 2 atm = 2 × 1.01 × 10^5 Pa = 2.02 × 10^5 Pa. This question is a unit-conversion check rather than a hydrostatic formula problem.

NEET Physics Revision Checklist

Check off chapters as you revise

Use this section for quick chapter tracking before mocks, part tests, and final NEET revision.

Tip: Mark a chapter complete only after revising formulas, solving PYQs, and reviewing your error log for that chapter.

Pressure FAQs

Notes · Downloads · Revision · Important Questions
Why is pressure different from thrust?
Thrust is the total normal force exerted by the fluid on a surface, while pressure is that force distributed over unit area. Two surfaces can experience the same thrust but very different pressures if their contact areas differ. That is why the ratio F/A is the defining step.
Why does pressure act in all directions in a liquid at rest?
A static fluid cannot sustain shear stress, so the stress at a point is purely normal. The OCR therefore states that pressure at a point acts in all directions and no single direction is attached to it. This is why the same depth condition works regardless of which way the small surface element faces.
Why does pressure increase with depth?
A point deeper in the liquid has to support the weight effect of a larger liquid column above it. The hydrostatic relation captures this as P = P0 + hρg, so increasing h while ρ and g remain fixed increases the pressure linearly.
Why does the shape of the vessel not matter for pressure at the same depth?
Because hydrostatic pressure depends only on the vertical depth below the free surface, the density of the liquid, and g. The vessel may contain different total volumes or weights of liquid, but if the depth is the same, the pressure at that level is the same for the same liquid at rest.
What is the difference between absolute and gauge pressure?
Absolute pressure includes atmospheric pressure and is written as P0 + hρg in this topic. Gauge pressure measures only the excess above atmospheric pressure, so it is hρg. NEET often tests this by asking both values for the same depth.
Why is atmospheric pressure highest at sea level?
At sea level, the air column above you is greatest, so the weight effect of the atmosphere is maximum there. As you move upward through the atmosphere, the air column above decreases and the atmospheric pressure falls accordingly.
Is pressure a scalar or a vector?
The OCR calls it a tensor quantity because the normal effect can act in all directions at a point, and no single definite direction is attached to it in the way velocity or force vectors are. In school-level objective questions, the key takeaway is that pressure is not treated as an ordinary directional vector quantity.
What is the most common pressure mistake in NEET numericals?
Students often stop at hρg even when the question asks for total pressure at depth. The second common error is assuming that a wider or heavier vessel must automatically create larger pressure at the same depth, which confuses total force or weight with pressure itself.
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Hydrostatic Pressure

Pressure Units and Dimensions

Density of substance

Subtopics

Hydrostatic Pressure

Pressure Units and Dimensions

Density of substance

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Pressure > Density of substance > Density of substance
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Hydrostatic Pressure

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