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JEE Main 2022 (26 Jul, Shift 1) · Comparing Two Projectiles

Comparing Two Projectiles question from JEE Main 2022 (26 Jul, Shift 1)

Q18JEE Main 2022 · 26 JUL · SHIFT 1Medium

Comparing Two Projectiles

Two projectiles thrown at 30∘30^\circ and 45∘45^\circ with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities is:

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Answer: (c)

  1. Time to maximum height t=usin⁡θgt = \frac{u\sin\theta}{g}; equal times give u1sin⁡30∘=u2sin⁡45∘u_1\sin 30^\circ = u_2\sin 45^\circ.
  2. u1u2=1/21/2=2\frac{u_1}{u_2} = \frac{1/\sqrt{2}}{1/2} = \sqrt{2}
  3. So the answer is (c) 2:1\sqrt{2} : 1.
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