JEE Main Physics question

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 [AIEEE 2003]

(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 ICorrect
(D)I implies II and II implies I

Answer: (C)

Solution

Zero total momentum does not require zero KE (particles can move with equal and opposite momenta, each contributing positive KE), so I does

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Question ID VK-152888