A gun fires two bullets with same velocity at 60° and 30° with ho… - Vidyadip

MCQ

A gun fires two bullets with same velocity at 60° and 30° with horizontal. The bullets strike at the same horizontal distance. The ratio of maximum height for the two bullets is in the ratio of –

A
$1: 2$
✓
$3: 1$
C
$2: 1$
D
$1: 3$

✓

Answer

Correct option: B.

$3: 1$

$3: 1$
Max height attained $h _{\max }=\frac{u^2 \sin ^2 \theta}{2 g}$
$\therefore h _{\max } \alpha \sin ^2 \theta$ i.e $h _{\max } \alpha \frac{1-\cos 2 \theta}{2}$
$\frac{h_{\max 1}}{h_{\max } 2}=\frac{3 / 2}{1 / 2}=3$

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