Question

A gun fires two bullets at $60^{\circ}$ and $30^{\circ}$ with horizontal. The bullets strike at some horizontal distance. The ratio of maximum height for the two bullets is in the ratio of

• A. $2: 1$
• B. $3: 1$
• C. $4: 1$
• D. $1: 1$

Answer 1

Answer: (B)

The bullets are fired at the same initial speed
$\frac{H}{H'}=\frac{u^{2} \sin ^{2} 60^{\circ}}{2 g} \times \frac{2 g}{u^{2} \sin ^{2} 30^{\circ}}=\frac{\sin ^{2} 60^{\circ}}{\sin ^{2} 30^{\circ}} $
$=\frac{(\sqrt{3} / 2)^{2}}{(1 / 2)^{2}}=\frac{3}{1}$