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Saturday, 31 October

JEE Main 2024 · PhysicsNumerical answerNumerical valueEasyCalculation

JEE Main 8 April 2024, Shift 1, Physics Q51

Question 51 of 90 in this shift, Physics question 21 of 30, Section B.

Three vectors OP→\overrightarrow{OP}, OQ→\overrightarrow{OQ} and OR→\overrightarrow{OR} each of magnitude AA are acting as shown in figure. The resultant of the three vectors is AxA\sqrt{x}. The value of xx is ________.

The figure, in words

Circle centred at O with three vectors from O: OP along the +x direction (to the right), OQ vertically upward (90 degrees from OP), and OR pointing down-right at 45 degrees below OP.

Official answer

3

NTA final key.

Chapter
Motion in a Plane
Topic
Kinematics in 2D
Idea tested
Vector Component Resolution

Same idea in other shifts

Asked 6× in all
  1. 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
  2. 15 Apr 2023, Shift 1 · Q37A vector in x−yx-y plane makes an angle of 30° with y-axis. The magnitude of y-component of vector is 232\sqrt{3}. The magnitude of…EasySingle correct
  3. 26 Aug 2021, Shift 1 · Q18The magnitude of vectors OA→\overrightarrow{OA}, OB→\overrightarrow{OB} and OC→\overrightarrow{OC} in the given figure are equal. The…MediumDiagram basedHas a figure
  4. 27 Aug 2021, Shift 1 · Q4The resultant of these forces OP→\overrightarrow{OP}, OQ→\overrightarrow{OQ}, OR→\overrightarrow{OR}, OS→\overrightarrow{OS} and…MediumSingle correctHas a figure
  5. 4 Sep 2020, Shift 1 · Q3Starting from the origin at time t=0, with initial velocity 5j^5\hat{j} ms−1^{-1}, a particle moves in the x−yx-y plane with a constant…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. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.