JEE Main 2025 · PhysicsMultiple choiceSingle correctMediumApplication

JEE Main 7 April 2025, Shift 1, Physics Q31

Question 31 of 75 in this shift, Physics question 6 of 25, Section A.

Two projectiles are fired from ground with same initial speeds from same point at angles

(45^\circ + \alpha)

and

(45^\circ - \alpha)

with horizontal direction. The ratio of their times of flights is

(1) $\frac{1 + \tan\alpha}{1 - \tan\alpha}$ Official answer
(2) $1$
(3) $\frac{1 + \sin 2\alpha}{1 - \sin 2\alpha}$
(4) $\frac{1 - \tan\alpha}{1 + \tan\alpha}$

Official answer

Option 1

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

4 Apr 2026, Shift 1 · Q31The two projectiles are projected with the same initial velocities at the $15^\circ$ and $30^\circ$ with respect to the horizontal. The…EasySingle correct
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 Apr 2025, Shift 1 · Q29The angle of projection of a particle is measured from the vertical axis as $\phi$ and the maximum height reached by the particle is…MediumDiagram basedHas a figure
3 Apr 2025, Shift 2 · Q27A particle is projected with velocity $u$ so that its horizontal range is three times the maximum height attained by it. The horizontal…MediumSingle correct
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 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
11 Apr 2023, Shift 1 · Q60A projectile fired at $30^\circ$ 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. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.