A wooden block of mass $M$  is suspended by a cord and is at rest. A bullet of mass $m,$ moving with a velocity $v$ passes through the block and comes out with a velocity $v/2$  in the same direction. If there is no loss in kinetic energy, then upto what height the block will rise

  • A

    ${m^2}{v^2}/2{M^2}g$

  • B

    ${m^2}{v^2}/8{M^2}g$

  • C

    ${m^2}{v^2}/4Mg$

  • D

    ${m^2}{v^2}/2Mg$

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