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If two balls are projected at an angle o...

If two balls are projected at an angle of `60^(@) and 45^(@)` and the total heights reached are same, then their initial velocities are in the ratio of ___

A

`2sqrt(2):3`

B

`3:2sqrt(2)`

C

`3:2`

D

`sqrt(2):sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Maximum height, `h_(max)=(u^(2)sin^(2)theta)/(2g),h_(max1)=h_(max2)`
`((mu_(1))/(mu_(2)))^(2)=(sin^(2)theta_(2))/(sin^(2)theta_(1))=(((1)/(sqrt(2)))^(2))/(((sqrt(3))/(2))^(2))=(1)/(2)xx(4)/(3)=(2)/(3)`
`u_(1):u_(2)=sqrt(2):sqrt(3)`
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