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When a particle is projected from the surface of earth its mechanical energy and angular momentum about center of earth at all time are constant. Q. A particle of mass `m` is projected from the surface of earth with velocity `v_(0)` at angle 0 with horizontal suppose `h` be the maximum height of particle from surface of earth and v its speed at that point then v is`v_(0)cos0`A. `gtv_(0)costheta`B. `ltv_(0)costheta`C. zeroD. `lt(v_(0)^(2)sin^(2)theta)/(2g)`

Answer» Correct Answer - B
By applying conservation of angular momentum
`mv_(0)Rcostheta=mv(R+h)`
`v=(v_(0)Rcostheta)/(R+h)((R)/(R+h)lt1)impliesv_(0)costhetagtv`


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