The question requires us to select the correct cooling curve for two identical metal bars heated to different temperatures and allowed to cool in the same surroundings. The cooling process can be explained using Newton's Law of Cooling, which states that the rate of heat loss of a body is directly proportional to the temperature difference between the body and its surroundings.

The key points to consider:

1. Both bars are identical, implying they have the same physical properties affecting heat dissipation, such as surface area and thermal conductivity.
2. The bar with the higher initial temperature will radiate heat faster in the beginning because of a larger temperature difference compared to the surroundings.
3. As time progresses, this temperature difference decreases, and both bars approach the ambient temperature, resulting in similar cooling curves.

Figure C is the correct representation:

• It shows the two curves starting at different initial temperatures.
• Over time, the curves converge as both bars cool towards the ambient temperature.

Thus, the correct answer is Option C.