1.

Two projectiles thrown from the same point at angles60^(@)and 30^(@)with the horizontal attain the same height . Which of the following statements is a correct statement ?

Answer»

The ratio of their initial velocityies is`sqrt(3)`
The ratio of their initial velocities is`(1)/(sqrt(3))`
The ratio of their initial velocities is 1.
The ratio of their initial velocities is infinity .

SOLUTION :`h_("MAX") = (u^(2) sin^(2) theta)/(2g)`
`h_("max")`is same in both the cases .
`u_(1)^(2) sin^(2)30^(@)`
`(u_(1))/(u_(2)) = (sin 30^(@))/(sin 60^(@))`
`= (1)/(2) XX (2)/(sqrt(3)) = (1)/(sqrt(3))`


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