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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 28 June 2022, Shift 2, Physics Q37

Question 37 of 90 in this shift, Physics question 7 of 30, Section A.

A 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 1.8×10−51.8\times10^{-5} Nsm−2^{-2} and its density is negligible as compared to that of water 10610^6 gm−3^{-3}. Terminal velocity of the water drop is : (Take acceleration due to gravity=10 ms−2^{-2})
  1. (1)145.4×10−6145.4\times10^{-6} ms−1^{-1}
  2. (2)118.0×10−6118.0\times10^{-6} ms−1^{-1}
  3. (3)132.6×10−6132.6\times10^{-6} ms−1^{-1}
  4. (4)123.4×10−6123.4\times10^{-6} ms−1^{-1}Official answer

Official answer

Option 4

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. 29 Jun 2022, Shift 2 · Q52A 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…MediumNumerical value

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.