Learn

Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceAssertion–reasonMediumConceptual

JEE Main 25 June 2022, Shift 2, Physics Q31

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

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Two identical balls AA and BB thrown with same velocity ‘uu’ at two different angles with horizontal attained the same range RR. If AA and BB reached the maximum height h1h_1 and h2h_2respectively , then R=4h1h2R =4\sqrt{h_1h_2} Reason R: Product of said heights. h1h2=(u2sin⁡2θ2g)⋅(u2cos⁡2θ2g)h_1h_2 = \left(\frac{u^2\sin^2\theta}{2g}\right)\cdot\left(\frac{u^2\cos^2\theta}{2g}\right) Choose the correct answer :
  1. (1)Both A and R are true and R is the correct explanation of A.Official answer
  2. (2)Both A and R are true but R is NOT the correct explanation of A.
  3. (3)A is true but R is false.
  4. (4)A is false but R is true.

Official answer

Option 1

NTA final key.

Chapter
Motion in a Plane
Topic
Projectile Motion
Idea tested
Complementary Angles Range and Ratios

Same idea in other shifts

Asked 4× in all
  1. 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
  2. 29 Jul 2022, Shift 1 · Q51An object is projected in the air with initial velocity u at an angle θ\theta. The projectile motion is such that the horizontal range R,…MediumNumerical value
  3. 30 Jul 2022, Shift 2 · Q30Two projectiles are thrown towards each other at 15° and 45° angles respectively with the horizontal at the same speed. The difference…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 108 of the 174 JEE Main shifts held from 2017 to 2026.