1.

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 :

Answer»

`2:1`
`3:1`
`4:1`
`1:1`

Solution :`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`


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