JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 26 July 2022, Shift 2, Physics Q31

Question 31 of 90 in this shift, Physics question 1 of 30, Section A.

Two projectiles are thrown with same initial velocity making an angle of

45^\circ

and

30^\circ

with the horizontal respectively. The ratio of their respective ranges will be :

(1) $1:\sqrt{2}$
(2) $\sqrt{2}:1$
(3) $2:\sqrt{3}$ Official answer
(4) $\sqrt{3}:2$

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

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
7 Apr 2025, Shift 1 · Q31Two projectiles are fired from ground with same initial speeds from same point at angles $(45^\circ + \alpha)$ and $(45^\circ - \alpha)$ …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
8 Apr 2024, Shift 2 · Q32The angle of projection for a projectile to have same horizontal range and maximum height is :EasySingle 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

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