Physics · Motion in Plane

JEE Main 2024 — 8 April, Shift 2 — Question 38

The angle of projection for a projectile to have same horizontal range and maximum height is :

  1. Option A:

    tan⁡−1(2)\tan ^{-1}(2)

  2. Option B:

    tan⁡−1(4)\tan ^{-1}(4)

    Correct
  3. Option C:

    tan⁡−1(14)\tan ^{-1}\left(\frac{1}{4}\right)

  4. Option D:

    tan⁡−1(12)\tan ^{-1}\left(\frac{1}{2}\right)

Answer: B

Step-by-step solution

u2sin⁡2θg=u2sin⁡2θ2g\frac{u^{2} \sin 2 \theta}{g}=\frac{u^{2} \sin ^{2} \theta}{2 g}

4sin⁡θcos⁡θ=sin⁡2θ4 \sin \theta \cos \theta=\sin ^{2} \theta

4=tan⁡θ4=\tan \theta

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Physics
Chapter
Motion in Plane
Topic
Oblique and Horizontal Projectile Motion
The angle of projection for a projectile to have same horizontal… | JEE Main 2024 PYQ with Solution · DhiX AI