Answer :
Final answer:
The question requires an application of physics concepts involving thermodynamics and heat transfer to determine the time taken for ice thickness on a pond to increase. Precise calculations would necessitate additional data such as thermal conductivity and heat of fusion, unavailable in the given context. The correct multiple-choice option is none of these.
Explanation:
The question deals with the rate of ice formation on a pond and how long it takes for the ice thickness to double. This involves concepts from physics, particularly thermodynamics and heat transfer, which explains the growth of ice due to the loss of heat of fusion when water turns into ice at 0°C. In this scenario, the temperature of the water remains constant, with the ice forming on top acting as an insulator.
To provide a precise answer, one would need to apply equations related to heat conduction through the ice layer and the rate at which liquid water at the interface is freezing, also taking into account the constant external temperature of -6.0°C that the ice is exposed to. Without additional data such as thermal conductivity, specific heat, and heat of fusion values, it's not possible to calculate the exact time required for the ice to increase from 4 cm to 8 cm. However, understanding the principles at play would help to set up the necessary calculations if such data were provided. The correct multiple-choice option is none of these.
