# Will the ice crack?

**Classical Mechanics**Level 4

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)