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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 27 June 2022, Shift 1, Physics Q59

Question 59 of 90 in this shift, Physics question 29 of 30, Section B.

The area of cross-section of a large tank is 0.5 m20.5\ \mathrm{m^2}. It has a narrow opening near the bottom having area of cross-section 1 cm21\ \mathrm{cm^2}. A load of 25 kg is applied on the water at the top in the tank. Neglecting the speed of water in the tank, the velocity of the water, coming out of the opening at the time when the height of water level in the tank is 40 cm above the bottom, will be __________ cms−1\mathrm{cms^{-1}}. [Take g=10 ms−2g=10\ \mathrm{ms^{-2}}]

Official answer

300

NTA final key.

Chapter
Mechanical Properties of Fluids
Topic
Fluid Dynamics
Idea tested
Torricelli's Law of Efflux

Same idea in other shifts

Asked 3× in all
  1. 28 Jul 2022, Shift 2 · Q7Consider a cylindrical tank of radius 1m is filled with water. The top surface of water is at 15 m from the bottom of the cylinder. There…MediumSingle correctHas a figure
  2. 18 Mar 2021, Shift 2 · Q28Consider a water tank as shown in the figure. It’s cross-sectional area is 0.4 m2^2. The tank has an opening B near the bottom whose…MediumNumerical valueHas a figure

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. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.