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 slope of the line AB
D. `L_(A) lt L_(B)`

Answer

B

Explanation

By definition, the magnitude of angular momentum (L) is given by
`"(mv)"xx"shortest distance between the line AB"`
`=mv xx oc = mv xx r sin phi=mvd`
As d is same for both the particles, `L_(A) =L_(B)`