A gun fires two bullets at 60∘ and ...
Question
A gun fires two bullets at 60∘ and 30∘ with the horizontal. The bullets strike at some horizontal distance. The ratio of maximum height for the two bullets is
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A gun fires two bullets at ( 60^{circ} ) and ( 30^{circ} ) with the horizontal. The bullets strike at some horizontal distance. The ratio of maximum height for the two bullets is:
(a) 2: 1
(b) 3: 1
(c) 4: 1
(d) 1: 1

NEET/Medical Exams
Physics
Solution
98
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A gun fires two bullets at 60∘ and 30∘ with the horizontal. The bullets strike at some horizontal distance. The ratio of maximum height for the two bullets is
Fullscreen

[
begin{array}{l}
tan theta=60^{circ}, quad H=frac{u^{2} sin ^{2} 60^{circ}}{2 g}
tan 0=30^{circ}, quad H_{2}=frac{u^{2} sin ^{2} 30^{circ}}{2 g}
end{array}
]
Assuming 4 is same for them
[
frac{H_{1}}{H_{2}}=frac{sin ^{2} 60}{sin ^{2} 30^{-}}=frac{3}{4 cdot 1}=frac{3}{1}
]

4 = 3:1 3Ans.
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