A gun fires two bullets at 60° and 30° with the horizontal the bullets strike at same horizontal distance. The maximum heights for the two bullets are in the ratio :

Options

A. `2:1`
B. `3:1`
C. `4:1`
D. `1:1`

Answer

B

Explanation

`R_(1)=R_(2)implies (u_(1)^(2)sin2xx60^@)/g=(u_(2)^(2).sin2xx30^@)/g`
`implies U_(2)^(2)/u_(1)^(2)=(sqrt(3)/2)/(sqrt(3)/2)=1`
`H_(1)/H_(2)=(u_(1)sin^(2)60^@)/(2g)xx(2g)/(u_(2)^(2)sin^(2)30^@)=(sqrt(3)/2)^(2)/(1/2)^(2)`
`implies H_(1)/H_(2)=3/4xx4/1=3/1`