Q. Consider the following two statements : I. Linear momentum of a system of particles is zero. II. Kinetic energy of a system of particles is zero. Then
A) I does not imply II and II does not imply I
B) I implies II but II does not imply I
C) I does not imply II but II implies I
D) I implies II and II implies I
Explanation
(c) Here B is implying A but A is not implying B, as kinetic energy of system of particles is zero means speed of each and every particles is zero, which says the momentum of every particle is zero.
But statement A means linear momentum of system of particle is zero, which may the true even if particles have equal and opposite momentums and hence, having non-zero KE.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.