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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumApplication

JEE Main 25 June 2022, Shift 1, Physics Q33

Question 33 of 90 in this shift, Physics question 3 of 30, Section A.

Which of the following relations is true for two unit vector A^\hat{A} and B^\hat{B} making an angle θ\theta to each other ?
  1. (1)∣A^+B^∣=∣A^−B^∣tan⁡θ2|\hat{A}+\hat{B}|=|\hat{A}-\hat{B}|\tan\frac{\theta}{2}
  2. (2)∣A^−B^∣=∣A^+B^∣tan⁡θ2|\hat{A}-\hat{B}|=|\hat{A}+\hat{B}|\tan\frac{\theta}{2}Official answer
  3. (3)∣A^+B^∣=∣A^−B^∣cos⁡θ2|\hat{A}+\hat{B}|=|\hat{A}-\hat{B}|\cos\frac{\theta}{2}
  4. (4)∣A^−B^∣=∣A^+B^∣cos⁡θ2|\hat{A}-\hat{B}|=|\hat{A}+\hat{B}|\cos\frac{\theta}{2}

Official answer

Option 2

NTA final key.

Chapter
Motion in a Plane
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

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.