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Question

A body is projected with velocity u at an angle θ with the horizontal. Another body having double mass is also projected with the same velocity but at an angle 90θ. The ratio of their maximum heights is


A

1

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B

tan θ

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C

tan2 θ

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D

1tan θ

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Solution

The correct option is C

tan2 θ


According to the question, H1=u2 sin2 θ2g
and H2=u2 sin2 (90θ)2g=u2 cos2 θ2g
H1H2=sin2 θcos2 θ=tan2 θ
Hence, the correct choice is (c).


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