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Saturday, 31 October

JEE Main 2025 · PhysicsMultiple choiceDiagram basedMediumData or graph

JEE Main 3 April 2025, Shift 1, Physics Q29

Question 29 of 75 in this shift, Physics question 4 of 25, Section A.

The angle of projection of a particle is measured from the vertical axis as ϕ\phi and the maximum height reached by the particle is hm\mathrm{h_m}. Here hm\mathrm{h_m} as function of ϕ\phi can be presented as

The figure, in words

Options are h_m versus phi graphs (phi from 0 to 90 degrees).
  1. (1)[figure: graph of h_m vs phi (0 to 90 deg), convex decreasing curve starting high at phi=0 and approaching zero at 90 deg]
  2. (2)[figure: graph of h_m vs phi, convex increasing curve from origin rising steeply up to a dashed vertical line at 90 deg]
  3. (3)[figure: graph of h_m vs phi, starts at a finite height with flat slope at phi=0 and decreases concavely to zero at 90 deg]Official answer
  4. (4)[figure: graph of h_m vs phi, arch starting at origin rising to a maximum and falling to zero at 90 deg]

Official answer

Option 3

NTA final key.

Chapter
Motion in a Plane
Topic
Projectile Motion
Idea tested
Ground-to-Ground Parameters

Same idea in other shifts

Asked 19× in all
  1. 4 Apr 2026, Shift 1 · Q31The two projectiles are projected with the same initial velocities at the 15∘15^\circ and 30∘30^\circ with respect to the horizontal. The…EasySingle correct
  2. 4 Apr 2026, Shift 2 · Q47A gun mounted on the ground fires bullets in all directions with same speed. The farthest distance the bullets could reach is 6.4 m. The…EasyNumerical value
  3. 3 Apr 2025, Shift 2 · Q27A particle is projected with velocity uu so that its horizontal range is three times the maximum height attained by it. The horizontal…MediumSingle correct
  4. 7 Apr 2025, Shift 1 · Q31Two projectiles are fired from ground with same initial speeds from same point at angles (45∘+α)(45^\circ + \alpha) and (45∘−α)(45^\circ - \alpha)…MediumSingle correct
  5. 8 Apr 2025, Shift 2 · Q30Two balls with same mass and initial velocity, are projected at different angles in such a way that maximum height reached by first ball…MediumSingle correct
  6. 8 Apr 2024, Shift 2 · Q32The angle of projection for a projectile to have same horizontal range and maximum height is :EasySingle correct
  7. 6 Apr 2023, Shift 1 · Q47Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : When a body is…EasyAssertion–reason
  8. 8 Apr 2023, Shift 1 · Q39Two projectiles A and B are thrown with initial velocities of 40 m/s40\ \mathrm{m/s} and 60 m/s60\ \mathrm{m/s} at angles 30∘30^\circ and…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. 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.