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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 28 July 2022, Shift 2, Physics Q2

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

At time t = 0 a particle starts travelling from a height 7 z^7\,\hat{z} cm in a plane keeping z coordinate constant. At any instant of time it's position along the x^\hat{x} and y^\hat{y} directions are defined as 3t and 5t35t^3 respectively. At t = 1s acceleration of the particle will be
  1. (1)−30y^-30\hat{y}
  2. (2)30y^30\hat{y}Official answer
  3. (3)3x^+15y^3\hat{x}+15\hat{y}
  4. (4)3x^+15y^+7z^3\hat{x}+15\hat{y}+7\hat{z}

Official answer

Option 2

NTA final key.

Chapter
Motion in a Plane
Topic
Kinematics in 2D
Idea tested
2D Kinematics with Variable Acceleration via Calculus

Same topic in other shifts

All Kinematics in 2D questions
  1. 4 Apr 2024, Shift 1 · Q32The co-ordinates of a particle moving in xx-yy plane are given by : x=2+4t, y=3t+8t2x = 2 + 4t,\ y = 3t + 8t^2. The motion of the particle is :EasySingle correct
  2. 8 Apr 2024, Shift 1 · Q51Three vectors OP→\overrightarrow{OP}, OQ→\overrightarrow{OQ} and OR→\overrightarrow{OR} each of magnitude AA are acting as shown in figure.…EasyNumerical valueHas a figure
  3. 27 Jan 2024, Shift 1 · Q32Position of an ant (S in metres) moving in Y-Z plane is given by S=2t2j^+5k^S = 2t^2\hat{j} + 5\hat{k} (where t is in second). The magnitude and…EasySingle correct
  4. 27 Jan 2024, Shift 1 · Q51A particle starts from origin at t = 0 with a velocity 5 i^5\,\hat{i} m/s and moves in xx-yy plane under action of a force which produces…MediumNumerical value
  5. 30 Jan 2024, Shift 2 · Q51A vector has magnitude same as that of A⃗=3i^+4j^\vec{A} = 3\hat{i} + 4\hat{j} and is parallel to B⃗=4i^+3j^\vec{B} = 4\hat{i} + 3\hat{j}. The xx and yy…EasyNumerical value
  6. 31 Jan 2024, Shift 1 · Q51A body starts falling freely from height HH hits an inclined plane in its path at height hh. As a result of this perfectly elastic…HardNumerical 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.