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

implies 2 and 2 implies 1

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1 does not imply 2 and 2 does not imply 1

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1 implies 2 but 2 does not imply 1

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1 does not imply 2 but 2 implies 1

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Solution

The correct option is D
1 does not imply 2 but 2 implies 1

Because linear momentum is vector quantity where as kinetic energy is a scalar quantity.

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Similar questions

Q. Consider the following two statements:
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(B) Kinetic energy of a system of particles is zero.
(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.

Consider the following two statements:
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(B) Centre of mass of the system remains at rest.
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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

The correct option is D 1 does not imply 2 but 2 implies 1 Because linear momentum is vector quantity where as kinetic energy is a scalar quantity.

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

The correct option is D
1 does not imply 2 but 2 implies 1

Because linear momentum is vector quantity where as kinetic energy is a scalar quantity.