Learn

Saturday, 31 October

JEE Main 2020 · PhysicsMultiple choiceSingle correctHardMulti-step

JEE Main 4 September 2020, Shift 2, Physics Q2

Question 2 of 75 in this shift, Physics question 2 of 25.

A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive force mkv2mkv^2 where vv is its speed. The maximum height attained by the ball is :
  1. (1)1ktan⁡−1ku22g\frac{1}{k}\tan^{-1}\frac{ku^2}{2g}
  2. (2)12ktan⁡−1ku2g\frac{1}{2k}\tan^{-1}\frac{ku^2}{g}
  3. (3)12kln⁡(1+ku2g)\frac{1}{2k}\ln\left(1+\frac{ku^2}{g}\right)Official answer
  4. (4)1kln⁡(1+ku22g)\frac{1}{k}\ln\left(1+\frac{ku^2}{2g}\right)

Official answer

Option 3

NTA final key (Sep 2020).

Chapter
Motion in a Straight Line
Topic
Kinematics in 1D
Idea tested
Velocity-Dependent Acceleration Integration

Same topic in other shifts

All Kinematics in 1D questions
  1. 2 Apr 2026, Shift 1 · Q28The velocity of a particle is given as v⃗=−xi^+2yj^−zk^\vec v=-x\hat i+2y\hat j-z\hat k m/s. The magnitude of acceleration at point (1,2,4)(1, 2, 4) is…MediumSingle correct
  2. 5 Apr 2026, Shift 1 · Q47From 18 m height above the ground a ball is dropped from rest. The height above the ground at which the magnitude of velocity equal to the…MediumNumerical value
  3. 5 Apr 2026, Shift 2 · Q29The velocity (vv) versus time (tt) plot of a particle is shown in the figure, for a time interval of 40 s. The total distance travelled…EasyDiagram basedHas a figure
  4. 8 Apr 2026, Shift 2 · Q29A gas balloon is going up with a constant velocity of 10 m/s. When this balloon reached a height of 75 m, a stone is dropped from it and…EasySingle correct
  5. 8 Apr 2026, Shift 2 · Q50Two masses of 3.4 kg and 2.5 kg are accelerated from an initial speed of 5 m/s and 12 m/s, respectively. The distances traversed by the…MediumNumerical value
  6. 2 Apr 2025, Shift 1 · Q49A person travelling on a straight line moves with a uniform velocity v1v_1 for a distance xx and with a uniform velocity v2v_2 for the…EasyNumerical 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.