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JEE Main 20248 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
8 April
Shift
Evening Shift
Subject
Physics
Chapter
Motion in Two Dimensions

JEE Main 2024 · 8 April · Evening Shift · Physics · Motion in Two Dimensions

The angle of projection for a projectile to have same horizontal...

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

Options

  1. Atan⁡−1(4)\tan ^{-1}(4)
  2. Btan⁡−1(14)\tan ^{-1}\left(\frac{1}{4}\right)
  3. Ctan⁡−1(12)\tan ^{-1}\left(\frac{1}{2}\right)
  4. Dtan⁡−1(2)\tan ^{-1}(2)

Correct answer

A. tan⁡−1(4)\tan ^{-1}(4)

Step-by-step solution

u2sin⁡2θg=u2sin⁡2θ2 g4sin⁡θcos⁡θ=sin⁡2θ4=tan⁡θ\begin{aligned} & \frac{\mathrm{u}^2 \sin 2 \theta}{\mathrm{g}}=\frac{\mathrm{u}^2 \sin ^2 \theta}{2 \mathrm{~g}} \\ & 4 \sin \theta \cos \theta=\sin ^2 \theta \\ & 4=\tan \theta\end{aligned}
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