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Friday, 9 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctHardMulti-step

JEE Main 24 June 2022, Shift 1, Physics Q35

Question 35 of 90 in this shift, Physics question 5 of 30, Section A.

A projectile is projected with velocity of 25 m/s at an angle θ\theta with the horizontal. After t seconds its inclination with horizontal becomes zero. If R represents horizontal range of the projectile, the value of θ\theta will be : [use g=10 m/s2g=10\ \mathrm{m/s^2}]
  1. (1)12sin⁡−1(5t24R)\frac{1}{2}\sin^{-1}\left(\frac{5t^2}{4R}\right)
  2. (2)12sin⁡−1(4R5t2)\frac{1}{2}\sin^{-1}\left(\frac{4R}{5t^2}\right)
  3. (3)tan⁡−1(4t25R)\tan^{-1}\left(\frac{4t^2}{5R}\right)
  4. (4)cot⁡−1(R20t2)\cot^{-1}\left(\frac{R}{20t^2}\right)Official answer

Official answer

Option 4

NTA final key (2022 Session 1).

Chapter
Motion in a Plane
Topic
Projectile Motion
Idea tested
Velocity Vector Angle as a Function of Time

Same topic in other shifts

All Projectile Motion questions
  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 · Q29If xx and yy coordinates of a projectile as a function of time (tt) are given as 24t24t and 43.6t−4.9t243.6t-4.9t^2, respectively, then the angle…EasySingle correct
  3. 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
  4. 8 Apr 2026, Shift 2 · Q31Two identical bodies, projected with the same speed at two different angles cover the same horizontal range RR. If the time of flight of…MediumSingle correct
  5. 3 Apr 2025, Shift 1 · Q29The angle of projection of a particle is measured from the vertical axis as ϕ\phi and the maximum height reached by the particle is…MediumDiagram basedHas a figure
  6. 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

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 42 of the 174 JEE Main shifts held from 2017 to 2026.