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) the relationship between LA and LB depends upon the slope of the line AB
C) LA < LB
D) LA > LB
Explanation
[Solution from source] L = m v d, where d is the perpendicular distance from O to the line AB; this distance is the same for every point on the line, so LA = LB. The slope of AB changes d but not the equality between the two points. Answer (1).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.