Ice has formed on a shallow pond and a steady state has been reached, with the air (above the ice) at \(\displaystyle -5^o C\), and the bottom of the pond at \(\displaystyle 4^o C\).

If the total depth of \(\displaystyle \text{ice + water}\) is \(\displaystyle 1.4m\), then find the thickness of the ice (in **m**) layer on the pond.

**Details and Assumptions:**

\(\bullet\) \(\displaystyle K_{ice} = 0.4 \text{cal}/m-^oC\)

\(\bullet\) \(\displaystyle K_{water} = 0.125 \text{cal}/m-^oC\), where \(\displaystyle K\) denotes the thermal conductivity.

**Note:** This problem appeared in our AITS (All India Test Series)

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