A piece of ice falls from a height $h$ so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of $h$ is:
(Latent heat of ice is $3.4\times {10}^5{\text{J kg}}^{-1}$ and $g=10{\text{N kg}}^{-1}$)

• A

  $\text{34}\text{km}$
• B

  $\text{544}\text{km}$
• Correct answer
  C

  $\text{136}\text{km}$
• D

  $\text{68}\text{km}$

Hence, the correct answer is option: 'C'.