Q.

Two stones having different masses m1 and m2 are projected at an angle α and (90° - α) with same speed from same point. The ratio of their maximum heights is

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a

1: 1

b

1: tan α

c

tan α: 1

d

tan2 α : 1

answer is D.

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Detailed Solution

Maximum height, H=u2sin2α2g⇒H∝sin2α∴ H1H2=sin2αsin290°-α=tan2α
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Two stones having different masses m1 and m2 are projected at an angle α and (90° - α) with same speed from same point. The ratio of their maximum heights is