# 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 LA when it is at A and LB when it is at B, then

Q: 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 LA when it is at A and LB when it is at B, then

(a) LA > LB

(b) LA = LB

(c) The relationship between LA and LB depends upon the slope of the line AB

(d) LA < LB

Ans: (b)

Sol: The magnitude of the angular momentum of a particle about a fixed point is equal to the product of its linear momentum and the length of the perpendicular to the linear momentum from the fixed point O.