Consider the following two statements1. Linear momentum of a system of particles is zero2. Kinetic energy of a system of particles is zeroThen
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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 1
answer is D.
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Detailed Solution
Because linear momentum is vector quantity where as kinetic energy is a scalar quantity. IF KINETIC ENERGY IS ZERO THEN MOMENTUM WILL BE ZERO BUT WHEN TOTAL MOMENTUM OF TWO PARTICLES MOVING IN OPPOSITE DIRECTIONS IS ZERO THEN TOTAL K.E WILL NOT BE ZERO.