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Questions  

The range R of projectile is same when its maximum heights are h1 and h2. What is the relation between R and h1 & h2 ?

a
R=h1h2
b
R=2h1h2
c
R=2h1h2
d
R=4h1h2

detailed solution

Correct option is D

we know that range is same for angle of projection θ and 90∘−θ.  The range and maximum heights are given byR=u2sin⁡2θgh1=(usin⁡θ)22g and h2={usin⁡(90−θ)}22g=(ucos⁡θ)22g¯∴ h1h2=u2sin2⁡θ2g×u2cos2⁡θ2g or  h1h2=u22g×sin⁡θcos⁡θ=14u2sin⁡2θg or  h1h2=R4  or  R=4h1h2

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