Thirty Questions. Thirty Minutes. Go.
Section 15 taught you the fast way through this chapter — the statements the paper asks for almost word for word, the recognition table of every formula with a hook attached, the single-step numericals, the rankings on pressure and terminal velocity and capillary rise, the floating-body, efflux and capillary templates, the biology-adjacent applications, the two special formats and the elimination habits. This section finds out whether any of it survives contact with a clock.
There is no new physics below. There are 30 questions built the way this paper builds them, and one rule that matters more than the rest: you are being tested on pace, not on cleverness. If a question here takes you five lines of algebra, you have misread it.
How to attempt this set
Key Point: Blank sheet, pen, timer. Attempt all 30 questions in one unbroken sitting, and do not read a single explanation until your last answer is written. A drill you pause to check is a reading exercise, and reading exercises do not build speed.
| The setup | What it is |
|---|---|
| Number of questions | 30, single correct option |
| Marking scheme | correct, incorrect, unattempted |
| Maximum score | marks |
| Minimum possible score | marks |
| Suggested time limit | 30 minutes (45 Physics questions in about 45 minutes, so roughly a minute each) |
| Take as | 10 m/s throughout. No question here uses 9.8 |
| Take as | Pa |
| Allowed | a rough sheet and your memory |
| Not allowed | calculator, formula sheet, or a glance back at Section 15 |
The constants sheet
Every question that needs a number uses these and no others.
| Quantity | Value |
|---|---|
| density of water | 1000 kg/m |
| density of sea water | 1030 kg/m |
| density of mercury | 13600 kg/m |
| density of blood | 1060 kg/m |
| density of air | kg/m |
| surface tension of water | N/m at 20°C |
| surface tension of soap solution | N/m |
| surface tension of mercury | N/m, angle of contact |
| viscosity of water | Pa s at 20°C |
| Useful values | , , |
Two housekeeping notes on those. Every pressure answer below states whether it is gauge or absolute, and where a question could be read either way it says which it wants — that ambiguity is the single commonest source of wrong answers in this chapter, so it is being closed deliberately. And means density, surface tension and the coefficient of viscosity throughout; is always a radius and always a diameter.
[Important] The 30-minute limit is the entire exercise. Most students can get 27 of these right given an hour — and an hour is exactly what the real paper will not give you. Finishing in 30 minutes with 24 correct puts you in far better shape than taking 55 minutes to get 27. Keep the timer where you can see it, and the moment a question passes 60 seconds, mark your best surviving option and move on.
Here is the arithmetic that makes that instruction safe. A blind guess among four options is worth , essentially nothing. But once you have eliminated two options, a guess between the survivors is worth marks on average. Eliminate first, then commit. Leave blank only what you could not narrow down at all.
What this set covers

| Topic | Questions | How many |
|---|---|---|
| Pressure, Pascal's law and hydraulic machines | Q1 to Q3 | 3 |
| Pressure with depth, gauge and absolute, the barometer | Q4 to Q6 | 3 |
| Archimedes' principle and floatation | Q7 to Q9 | 3 |
| The equation of continuity | Q10 to Q11 | 2 |
| Bernoulli, efflux and dynamic lift | Q12 to Q14 | 3 |
| Viscosity, Stokes' law and terminal velocity | Q15 to Q16 | 2 |
| Poiseuille's law and Reynolds number | Q17 to Q18 | 2 |
| Surface tension and surface energy | Q19 to Q20 | 2 |
| Excess pressure in drops and bubbles | Q21 to Q22 | 2 |
| Capillary rise and detergent action | Q23 to Q24 | 2 |
| Fluids in the body | Q25 | 1 |
| Assertion-reason | Q26 to Q28 | 3 |
| Column matching | Q29 to Q30 | 2 |
That weighting is not arbitrary — it is how this paper actually samples the chapter. Hydrostatics is 6 of the 30, because pressure with depth and Archimedes' principle between them supply more items than any other pair of topics here, and each is worth a whole mark in half a minute once the template is automatic. Surface tension in all its forms is another 6, spread across the film, the drop, the bubble and the capillary tube. The last five drill the two formats this paper uses and the engineering papers do not: three assertion-reason items and two column matches. If you have never sat one of those under time pressure, they are the questions most likely to cost you marks.
[Important] Notice what is not in this set. No integration of pressure over the face of a dam, no accelerating or rotating container, no buoyancy in a lift, no simple harmonic motion of a floating body or of a U-tube, no efflux from a tank whose level falls appreciably. Those live in Section 13. Every question below can be finished with one formula card, one definition, or one line of arithmetic. If you find yourself wanting calculus, you are solving a question that is not on this page.
The difficulty mix is deliberately calibrated: roughly 35% easy, 45% medium and 20% hard.
Mark It Honestly, Then Read Your Own Answer Sheet
Score with the real scheme: for every correct answer, for every wrong one, for every blank. No half marks for "I nearly had that one". The number you end up with is the number that means something.

The bands
| Your score (out of 120) | Verdict | What to do next |
|---|---|---|
| 100 to 120 | Exam ready. Over 80% on a full-length set, inside the time. | This chapter is now free marks for you. Revisit only the items you missed, then move to the next chapter. |
| 78 to 99 | Fast but leaky. You know the material; something leaks on the way to the answer sheet. | Almost always a diameter used as a radius, an area left in cm, or a gauge pressure quoted where absolute was wanted — not a gap in knowledge. Redo every wrong question without the explanation first, and count how many you fix alone. |
| 48 to 77 | Recall gaps. The speed is not the problem; the lookup is. | Go back to Section 15's recognition table and unit card — pressure in Pa, surface tension in N/m, viscosity in Pa s, Reynolds number in nothing at all — and learn them as flashcards. Then re-attempt this set cold. |
| Below 48 | Rebuild first. | Work Sections 1 to 11 properly, then Section 12's worked problems, then Section 15. Re-attempting this set today would teach you nothing except the answer key. |
Sort your mistakes into three piles
Do this before you read a single explanation. It is the most useful ten minutes in this section.
- Did not know it. A formula you could not recall, a unit you had never learnt precisely, whether an air cavity takes or . Cheapest to fix — it is a memory job, and it takes an evening.
- Knew it, computed it wrong. You used the diameter where the radius belonged, left an area in cm, measured a depth from the top of the tank instead of from the free surface, or squared a difference instead of differencing two squares. Slow down for four seconds on the final line.
- Knew it, answered a different question. You gave the gauge pressure when it asked for absolute; the speed at the constriction when it asked for the flow rate; the height of the capillary column when it asked for the mass of liquid raised. The distractors here are built specifically to reward this mistake.
Key Point: Two students both score 88. The first has four pile-1 mistakes and a syllabus gap that revision closes in a day. The second has nine pile-3 mistakes and a reading habit that will follow them into the exam hall. Pile 3 is the expensive one — count it before you explain it away.
The twelve recall facts this set keeps testing
- Pressure is a scalar, in pascal, with dimensional formula . The thrust is the vector, and a fluid at rest always pushes normally on a surface.
- Pascal's law: a change in pressure applied to an enclosed fluid is transmitted undiminished everywhere. A hydraulic lift multiplies force, never work.
- , and . The pressure at a depth depends on the depth, the density and , and not on the shape of the vessel or how much liquid it holds.
- , independent of the depth and of what the body is made of; a floating body has submerged fraction .
- is conservation of mass; a fluid speeds up in a narrow pipe because of this, not because of Bernoulli.
- is constant along one streamline, for steady, incompressible, non-viscous flow.
- , and the range of the jet is , greatest at mid-depth where it equals the depth of the liquid.
- and , with in Pa s. Liquids get thinner when heated; gases get thicker.
- , and it comes out negative for a body that rises.
- — the fourth power — and , which is dimensionless.
- in N/m equals the surface energy in J/m, and counts twice for a film. Surface tension falls as the temperature rises.
- for a drop or an air cavity, for a soap bubble, and for the capillary rise — with negative for mercury, which is therefore depressed.
One more pass, then move on
Every question below has a full step-by-step explanation and a note on why each wrong option is tempting. Read the explanation even for the questions you got right — on a paper this tight, the difference between a 20-second method and a 70-second method decides whether you finish Physics at all.
[Important] When you are done, do not immediately re-attempt the set. You would be scoring your memory of the answer key, not your physics. Leave it a week, then sit it again cold with the same 30-minute timer. The second score is the honest one.