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

If the 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

`2sqrt2:3`

B

`3:2sqrt2`

C

`sqrt2:sqrt3`

D

`2:3`

Text Solution

Verified by Experts

The correct Answer is:
C
Maximum height `h= (u^2 sin^2 theta)/(2g)`
`h_1 = h_2`
`(mu_1^2 sin^2 60^@)/(2g) = (u_2^2 sin^2 45^@)/(2g)`
`therefore ((U_1)/(U_2)) = (sin^2 45^@)/(sin^2 60^@) = ((1/2))/((3/4)) implies (u_1)/(u_2) = (sqrt(2))/(sqrt3)`
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