Question # 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 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

Solution

[

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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