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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumMulti-step

JEE Main 29 June 2022, Shift 2, Physics Q52

Question 52 of 90 in this shift, Physics question 22 of 30, Section B.

A small spherical ball of radius 0.1 mm and density 10410^4 kg m−3\mathrm{kg\,m^{-3}} falls freely under gravity through a distance hh before entering a tank of water. If, after entering the water the velocity of ball does not change and it continue to fall with same constant velocity inside water, then the value of hh will be ________ m. (Given g = 10 ms−2\mathrm{ms^{-2}}, viscosity of water = 1.0 × 10−510^{-5} N-sm−2\mathrm{N\text{-}sm^{-2}}).

Official answer

20

NTA final key.

Chapter
Mechanical Properties of Fluids
Topic
Viscosity
Idea tested
Terminal Velocity Calculation

Same idea in other shifts

Asked 7× in all
  1. 6 Apr 2024, Shift 1 · Q35A small ball of mass m and density ρ\rho is dropped in a viscous liquid of density ρ0\rho_0. After sometime, the ball falls with constant…MediumSingle correct
  2. 9 Apr 2024, Shift 2 · Q40A spherical ball of radius 1×10−41\times10^{-4} m and density 105 kg/m310^5\ \mathrm{kg/m^3} falls freely under gravity through a distance hh before…HardSingle correct
  3. 6 Apr 2023, Shift 1 · Q33A small ball of mass M and density ρ\rho is dropped in a viscous liquid of density ρ0\rho_0. After some time, the ball falls with a…EasySingle correct
  4. 29 Jul 2022, Shift 2 · Q54The velocity of a small ball of mass 0.3 g and density 8 g/cc when dropped in a container filled with glycerine becomes constant after…MediumNumerical value
  5. 27 Jun 2022, Shift 1 · Q39The velocity of a small ball of mass ‘m’ and density d1d_1, when dropped in a container filled with glycerine, becomes constant after some…MediumSingle correct
  6. 28 Jun 2022, Shift 2 · Q37A water drop of radius 1 µm falls in a situation where the effect of buoyant force is negligible. Co-efficient of viscosity of air is…MediumSingle 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. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.