Verified Solution • 2025–26 Session moderate

QJEEM25Ph246f: JEE Main 2025 Physics - Class 11 JEEM25Ph246f Solution: Two projectiles are fired with same initial speed from same…

Two projectiles are fired with same initial speed from same point on ground at angles of (45∘−α)(45^\circ - \alpha) and (45∘+α)(45^\circ + \alpha) , respectively, with the horizontal direction. The ratio of their maximum heights attained is :

Multiple Choice Options

  • A 1+sin⁡α1−sin⁡α\frac{1+\sin\alpha}{1-\sin\alpha}
  • B 1+sin⁡2α1−sin⁡2α\frac{1+\sin2\alpha}{1-\sin2\alpha}
  • C 1−tan⁡α1+tan⁡α\frac{1-\tan\alpha}{1+\tan\alpha}
  • D 1−sin⁡2α1+sin⁡2α\frac{1-\sin2\alpha}{1+\sin2\alpha}

Step-by-Step Verified Solution

HMax=(usinθ)22 g(Hmax)1(Hmax)2=u2sin2⁡(45−α)u2sin2⁡(45+α)=(12cos⁡α−12sin⁡α)2(12cos⁡α+12sin⁡α)2=1−sin⁡2α1+sin⁡2α

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