One end of a copper rod of length $1.0 \; m$ and area of cross-section $10^{-3} \; m^2$ is immersed in boiling water and the other end in ice. If the coefficient of thermal conductivity of copper is $92 \; cal/(m \cdot s \cdot ^\circ C)$ and the latent heat of ice is $8 \times 10^4 \; cal/kg$,then the amount of ice which will melt in one minute is:

  • A
    $9.2 \times 10^{-3} \; kg$
  • B
    $8 \times 10^{-3} \; kg$
  • C
    $6.9 \times 10^{-3} \; kg$
  • D
    $5.4 \times 10^{-3} \; kg$

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