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JEE Main 202430 JanuaryEvening Shift
Exam
JEE Main
Year
2024
Date
30 January
Shift
Evening Shift
Subject
Physics
Chapter
Motion in Two Dimensions

JEE Main 2024 · 30 January · Evening Shift · Physics · Motion in Two Dimensions

Projectiles A and B are thrown at angles of 45 ° and 60 ° with...

Projectiles AA and BB are thrown at angles of 45°45 ° and 60°60 ° with vertical respectively from top of a 400m400m high tower. If their times of flight are same, the ratio of their speeds of projection vA:vB{v}_{A}: {v}_{B} is:

Options

  1. A1:31: \sqrt{3}
  2. B2:1\sqrt{2}: 1
  3. C1:21: 2
  4. D1:21: \sqrt{2}

Correct answer

D. 1:21: \sqrt{2}

Step-by-step solution

For same time of flight, vertical component of velocity of projection must be same. Therefore,

vAsin⁡45°=vBsin⁡30°⇒vAvB=1212⇒vAvB=12{v}_{A}\sin 45 ° = {v}_{B}\sin 30 ° ⇒ \dfrac{{v}_{A}}{{v}_{B}} = \dfrac{\dfrac{1}{2}}{\dfrac{1}{\sqrt{2}}} ⇒ \dfrac{{v}_{A}}{{v}_{B}} = \dfrac{1}{\sqrt{2}}

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