| Consider the following two statements |
| A. Linear momentum of a system of particles is zero. |
| B. Kinetic energy of a system of particles is zero. |
| Then, [AIEEE 2003] |
A) A does not imply B and B does not imply A
B) A implies B but B does not imply A
C) A does not imply B but B implies A
D) A implies B and B implies A
Correct Answer: C
Solution :
[c] Here, B is implying Abut A is not implying B, as kinetic energy of a system of particles is zero means speed of each and every particle is zero which says that momentum of every particle is zero. But statement A means linear momentum of a system of particles is zero, which may be true even, if particles have equal and opposite momentums and hence having non-zero KE.
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