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

Options

A. `1:2`
B. `3:1`
C. `2:1`
D. `1:3`

Answer

A, C

Explanation

Max height attained `h_(max)=(u^(2)sin^(2)theta)/(2g)`
`:.h_(max)propsin^(2)theta` i.e., `h_(max)prop(1-cos2theta)/(2)`
`(h_(max1))/(h_(max2))=(3//2)/(1//2)=3`