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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumApplication

JEE Main 27 June 2022, Shift 1, Physics Q39

Question 39 of 90 in this shift, Physics question 9 of 30, Section A.

The velocity of a small ball of mass ‘m’ and density d1d_1, when dropped in a container filled with glycerine, becomes constant after some time. If the density of glycerine is d2d_2, then the viscous force acting on the ball, will be :
  1. (1)mg(1−d1d2)mg\left(1-\frac{d_1}{d_2}\right)
  2. (2)mg(1−d2d1)mg\left(1-\frac{d_2}{d_1}\right)Official answer
  3. (3)mg(d1d2−1)mg\left(\frac{d_1}{d_2}-1\right)
  4. (4)mg(d2d1−1)mg\left(\frac{d_2}{d_1}-1\right)

Official answer

Option 2

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. 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
  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.