JEE Main 2003 Physics question

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

(1) does not imply and does not imply
(2) implies but does not imply
(3) does not imply but implies Correct
(4) implies and implies

Answer: (3)

Solution

If the total kinetic energy is zero, every particle is at rest (KE of each particle is non-negative), so the total momentum is zero: B implies A. But zero total momentum

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Question ID VK-038077