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. Maximum height `h` of the particle is

Options

A. `=(v_(0)^(2) sin^(2) theta)/(2g)`
B. `gt(v_(0)^(2) sin^(2) theta)/(2g)`
C. `lt(v_(0)^(2) sin^(2) theta)/(2g)`
D. can be greater than or less than `(v_(0)^(2) sin^(2) theta)/(2g)`

Answer

B