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Two projectiles are projected simultaneo...

Two projectiles are projected simultaneously from the top and bottom of a vertical tower of height `h` at angles `45^(@)` and `60^(@)` above horizontal respectively.Body strike at the same point on ground at distance `20m` from the foot of the tower after same time.
The ratio of the speed of the projectile projected from the top and the speed of the projectile projected from the bottom of tower is

A

`1:sqrt(2)`

B

`1:sqrt(3)`

C

`sqrt(5):1`

D

`sqrt(7) :1`

Text Solution

Verified by Experts

The correct Answer is:
A
`R_(1)=(U cos theta)t=U/sqrt2sqrtsqrt3`
`U/sqrt(2)2sqrtsqrt3=20,U=(10sqrt2)/(root(4)(3)) U/V=1/sqrt2`
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