JEE Mains · Physics · STD 11 - 3.2 motion in plane
The angle of projection for a projectile to have same horizontal range and maximum height is _______.
- A \(\tan ^{-1}(2)\)
- B \(\tan ^{-1}(4)\)
- C \(\tan ^{-1}\left(\frac{1}{4}\right)\)
- D \(\tan ^{-1}\left(\frac{1}{2}\right)\)
Answer & Solution
Correct Answer
(B) \(\tan ^{-1}(4)\)
Step-by-step Solution
Detailed explanation
\(\frac{u^2 \sin 2 \theta}{g}=\frac{u^2 \sin ^2 \theta}{2 g}\) \(4 \sin \theta \cos \theta=\sin ^2 \theta\) \(4=\tan \theta\)
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