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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 July 2022, Shift 2, Physics Q32

Question 32 of 90 in this shift, Physics question 2 of 30, Section A.

A body of mass 10 kg is projected at an angle of 45∘45^\circ with the horizontal. The trajectory of the body is observed to pass through a point (20, 10). If T is the time of flight, then its momentum vector, at time t=T2t=\frac{T}{\sqrt{2}}, is ___________. [Take g=10g=10 m/s2^2]
  1. (1)100i^+(1002−200)j^100\hat{i}+(100\sqrt{2}-200)\hat{j}
  2. (2)1002 i^+(100−2002)j^100\sqrt{2}\,\hat{i}+(100-200\sqrt{2})\hat{j}
  3. (3)100i^+(100−2002)j^100\hat{i}+(100-200\sqrt{2})\hat{j}
  4. (4)1002 i^+(1002−200)j^100\sqrt{2}\,\hat{i}+(100\sqrt{2}-200)\hat{j}Official answer

Official answer

Option 4

NTA final key.

Chapter
Motion in a Plane
Topic
Projectile Motion
Idea tested
Trajectory Equation Application

Same idea in other shifts

Asked 5× in all
  1. 8 Apr 2023, Shift 2 · Q39The trajectory of projectile, projected from the ground is given by y=x−x220y = x - \frac{x^2}{20}. Where xx and yy are measured in meter. The…MediumSingle correct
  2. 26 Jul 2022, Shift 1 · Q51If the initial velocity in horizontal direction of a projectile is unit vector i^\hat{i} and the equation of trajectory is y=5x(1−x)y = 5x(1-x).…MediumNumerical value
  3. 3 Aug 2021, Shift 2 · Q8A projectile is thrown with initial velocity of (3i^+4j^) m/s(3\hat{i}+4\hat{j})\ \mathrm{m/s}. Here 'i^\hat{i}' is along the horizontal direction…MediumSingle correct
  4. 26 Feb 2021, Shift 2 · Q9The trajectory of a projectile in a vertical plane is y=αx−βx2y = \alpha x - \beta x^2, where α\alpha and β\beta are constants and x & y are…EasySingle 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 108 of the 174 JEE Main shifts held from 2017 to 2026.