A particle of mass `m` moves in the `XY` plane with a velocity `v` along the straight line `AB`. If the angular momentum of the particle with respect to origin `O` is `L_(A)` when it is at A and `L_(B)` when it is at B, then

Options

A. `L_(A) gt L_(B)`
B. `L_(A) = L_(B)`
C. The relationship between `L_(A)` and `L_(B)` depends upon the slop of the line `AB`
D. `L_(A) lt L_(B)`

Explanation

Drop a `bot^(ar)` from `O` to the line `AB`, `bot^(ar)` distance is same for positions `A` and `B`.