Two projectiles are projected at 30 ° and 60 ° with the horizontal with the same speed. The ratio…

Two projectiles are projected at 30° and 60°with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is:
  1. 3 : 1
  2. 1 : 3
  3. 2 : 3
  4. 1 : 3

Solution

The maximum height is given by, H=u2sin2θ2g.

The given data is 

θ1=30°θ2=60°u1=u2

Therefore,

H1maxH2max=u12sin2θ1u22sin2θ2=sin30°sin60°2=12322=13

Asked in: JEE Main 2023 (10 Apr Shift 2)

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