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Friday, 9 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 8× 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. 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
  7. 11 Apr 2023, Shift 1 · Q60A projectile fired at 30∘30^\circ to the ground is observed to be at same height at time 3s and 5s after projection, during its flight. The…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 42 of the 174 JEE Main shifts held from 2017 to 2026.