Question

Consider the following two statements :
(A) Linear momentum of the system remains constant.
(B) Center of mass of the system remains at rest.

• A. A implies B and B implies A.
• B. A does not imply B and B does not imply A.
• C. A implies B but B does not imply A.
• D. B implies A but A does not imply B.

Answer 1

The correct option is D B implies A but A does not imply B.

Solution

B implies A but A does not imply

B because linear momentum of

the system remains constant if

there is no net external force

acting on the system. But center

of mass of the system is at

rest, its acceleration is zero

and thus by newton's second law

of motion, internal force is also

zero implying law of consecration of

momentum.

option -D is correct.