An ice cube of dimensions $60\,cm \times 50\,cm \times 20\,cm$ is placed in an insulation box of wall thickness $1\,cm$. The box keeping the ice cube at $0^{\circ}\,C$ of temperature is brought to a room of temperature $40^{\circ}\,C$. The rate of melting of ice is approximately. (Latent heat of fusion of ice is $3.4 \times 10^{5}\,J\,kg ^{-1}$ and thermal conducting of insulation wall is $0.05\,Wm ^{-10} C ^{-1}$ )

  • [JEE MAIN 2022]
  • A

    $61 \times 10^{-1} kg\,s ^{-1}$

  • B

    $61 \times 10^{-5} kg\,s ^{-1}$

  • C

    $208\, kg\,s ^{-1}$

  • D

    $30 \times 10^{-5} kg\,s ^{-1}$

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  • [JEE MAIN 2019]