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Saturday, 31 October

JEE Main 2020 · PhysicsMultiple choiceDiagram basedMediumDiagram reading

JEE Main 4 September 2020, Shift 1, Physics Q2

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

A Tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and reaches height h2\frac{h}{2}. The velocity versus height of the ball during its motion may be represented graphically by : (graph are drawn schematically and on not to scale)

The figure, in words

Each option is a graph with vertical axis labelled v and horizontal axis labelled h(v), with points h/2 and h marked on the horizontal axis. Option 1: a curve with an arrow starts high on the v axis and descends (concave, flattening) to the point h/2 on the horizontal axis; a second curve with a downward-left arrow runs from the point h on the horizontal axis down to a point low on the v axis (below the origin). Option 2: same layout with straight line segments instead of curves (upper segment from the v axis down to h/2 with an arrow; lower segment from h down-left to the v axis below the origin with an arrow). Option 3: a quarter-circle-like arc with an arrow from the top of the v axis curving down to h/2, and a second arc from near h curving down and left to the v axis below the origin. Option 4: a small loop above the horizontal axis (arrow pointing right, from the origin to about h/2) joined to a larger loop below the axis (arrow pointing left) reaching out to about h.
  1. (1)[figure: graph]
  2. (2)[figure: graph]
  3. (3)[figure: graph]Official answer
  4. (4)[figure: graph]

Official answer

Option 3

NTA final key (Sep 2020).

Chapter
Motion in a Straight Line
Topic
Kinematics in 1D
Idea tested
Free Fall Sign Conventions

Same idea in other shifts

Asked 10× in all
  1. 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
  2. 12 Apr 2023, Shift 1 · Q44A ball is thrown vertically upward with an initial velocity of 150 m/s. The ratio of velocity after 3 s and 5 s is x+1x\frac{x+1}{x}. The…EasySingle correct
  3. 28 Jul 2022, Shift 2 · Q21A ball is thrown vertically upwards with a velocity of 19.6 ms−119.6\ \mathrm{ms^{-1}} from the top of a tower. The ball strikes the ground after…MediumNumerical value
  4. 24 Jun 2022, Shift 1 · Q57From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A second ball thrown vertically downward from…MediumNumerical value
  5. 26 Jun 2022, Shift 1 · Q33An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero ?EasySingle correct
  6. 26 Jun 2022, Shift 1 · Q52A ball of mass 0.5 kg is dropped from the height of 10 m. The height, at which the magnitude of velocity becomes equal to the magnitude of…EasyNumerical value
  7. 27 Jun 2022, Shift 2 · Q33When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity vv and then sinks to the…EasySingle correct
  8. 8 Jan 2020, Shift 2 · Q21A ball is dropped from the top of a 100 m100\ \mathrm{m} high tower on a planet. In the last 12\frac{1}{2} s before hitting the ground, it…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. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.