Two projectiles are thrown with same initial velocity making an angle of 45 ° and 30 ° with the…

Two projectiles are thrown with same initial velocity making an angle of 45° and 30° with the horizontal respectively. The ratio of their respective ranges will be
  1. 1:2
  2. 2:1
  3. 2:3
  4. 3:2

Solution

Let projection speed is u, The formula for the range of the projectile is given by, R=u2sin2θg. Therefore,

R1=u2sin90°g; R2=u2sin60°g

R1R2=sin90°sin60°=23

Asked in: JEE Main 2022 (26 Jul Shift 2)

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