1.
The answer is (B).
The initial momentum of the system is mv. The final momentum of the system is mv/2 + 2mv/2 = mv. Since the momentum is conserved, the ratio of final velocity of the first body to that of the second body is 1:1.
2.
The answer is (C).
The initial kinetic energy of the first ball is mv2/2. The final kinetic energy of the first ball is mv2/4. Since the kinetic energy is conserved, the kinetic energy of the first ball after collision is mv2/4.
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