JEE Main Physics question

Consider the following two statements: 1. Linear momentum of a system of particles is zero. 2. Kinetic energy of a system of particles is zero. Then [AIEEE 2003]

(A)1 implies 2 and 2 implies 1
(B)1 does not imply 2 and 2 does not imply 1
(C)1 implies 2 but 2 does not imply 1
(D)1 does not imply 2 but 2 implies 1Correct

Answer: (D)

Solution

If KE = 0, every particle must be at rest, so momentum is trivially zero too (statement 2 ⟹ statement 1). But momentum can be zero

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Question ID VK-154131