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Two bodies are thrown with the same init...

Two bodies are thrown with the same initial velocity at angles ` theta ` and `(90^@ - theta)` respectively with the horizontal, then their maximum height are in the ratio

A

1 : 1

B

` sintheta : costheta`

C

`sin^2theta:cos^2theta`

D

`costheta:sintheta`

Text Solution

Verified by Experts

The correct Answer is:
C
`H_(theta) = (u^2sin^2theta)/(2g)`
`H_(90-theta) = (u^2sin^2(90-theta))/(2g) = (u^2cos^2theta)/(2g)`
`:. H_(theta)/H_(90-theta) = (sin^2theta)/(cos^2theta)` .
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