Constant the following two statements :
A. Liner momentum of a system of particles is zero
B . Kinetic energy of a system of particls is zero .Then

Options

A. A does not impty `B` and `B` does not imply `A`
B. A implies`B` and `B` does not imply `A`
C. A does not impty `B` and `B` implies`A`
D. A impies `B` and `B` implies`A`

Answer

C

Explanation

(c ) Kinetic energy of a system of particle is zero only when the speed of each particle is zero . And if speed of each particle is zero , the linear momentum of the system of partuicle has to be zero .
Also the linear momentum of the system may be zero even when the particle are moving . this is became linear momentum is a vector quantity in this case the kinetic energy of the particle will not be zero
:. A does not imply `B` but `b` imlies `A` .