Q.

Two stones are projected with the same speed but making different angles with the horizontal. Their ranges are equal. If the angle of projection of one is π/3 and its maximum height is h1, then the maximum height of the other will be

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a

3h1

b

2h1

c

h1/2

d

h1/3

answer is D.

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Detailed Solution

h2h1=u2sin2⁡θ22g×2gu2sin2⁡θ1=sin2⁡θ2sin2⁡θ1=sin2⁡π/6sin2⁡π/3=13⇒h2=h13
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Two stones are projected with the same speed but making different angles with the horizontal. Their ranges are equal. If the angle of projection of one is π/3 and its maximum height is h1, then the maximum height of the other will be