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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumMulti-step

JEE Main 26 June 2022, Shift 1, Physics Q60

Question 60 of 90 in this shift, Physics question 30 of 30, Section B.

An ideal fluid of density 800 kgm−3\mathrm{kgm^{-3}}, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to a2\frac{a}{2}. The pressure difference between the wide and narrow sections of pipe is 4100 Pa. At wider section, the velocity of fluid is x6 ms−1\frac{\sqrt{x}}{6}\ \mathrm{ms^{-1}} for x=x=__________. (Given g=10 ms−2g=10\ \mathrm{ms^{-2}})

The figure, in words

A bent pipe: wide left end (cross-section labelled a, velocity arrow v1 pointing right) at the higher level, curving down to a narrow right end (cross-section labelled a/2, velocity arrow v2 pointing right) at the lower level. A vertical dimension h=1 m is marked between the two levels (dashed lines).

Official answer

363

NTA final key.

Chapter
Mechanical Properties of Fluids
Topic
Fluid Dynamics
Idea tested
Bernoulli's Equation

Same idea in other shifts

Asked 5× in all
  1. 8 Apr 2026, Shift 2 · Q33A liquid of density 600 kg/m3^3 flowing steadily in a tube of varying cross-section. The cross-section at a point AA is 1.0 cm2^2 and…EasySingle correct
  2. 8 Apr 2024, Shift 1 · Q36Correct Bernoulli's equation is (symbols have their usual meaning) :EasySingle correct
  3. 13 Apr 2023, Shift 1 · Q37The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross - section. Cross sectional areas at A is…MediumSingle correctHas a figure
  4. 6 Sep 2020, Shift 2 · Q7A fluid is flowing through a horizontal pipe of varying cross-section, with speed v ms−1v\,\mathrm{ms^{-1}} at a point where the pressure is P…EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.