A block of mass $m = 10\,kg$ rests on a horizontal table. The coefficient of friction between the block and the table is $0.05.$ When hit by a bullet of mass $50\,g$ moving with speed $v,$ that gets embedded in it, the block moves and comes to stop after moving a distance of $2\,m$ on the table. If a freely falling object were to acquire speed $\frac {v}{10}$ after being dropped from height $H,$ then neglecting energy losses and taking $g = 10\,ms^{-2},$ the value of $H$ is close to ................. $\mathrm{km}$

  • [JEE MAIN 2015]
  • A

    $0.05$

  • B

    $0.02$

  • C

    $0.03$

  • D

    $0.04$

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