A cooling curve is plotted between the temperature of a hot body and time. Which of the following is not true for the cooling curve?

Options

A. Cooling is faster from a calorimeter having a larger surface area than a smaller one.
B. Cooling is faster from a calorimeter painted black from outside than that from a polished surfaced calorimeter.
C. Cooling is faster from a copper calorimeter than from a steel calorimeter.
D. The rate of cooling remains same throughout the experiment. Hence the graph is a striagth line

Answer

To solve the question regarding the properties of a cooling curve, we need to analyze the characteristics of such curves and identify which statement is not true.

### Step-by-Step Solution:

1. **Understanding Cooling Curves**: A cooling curve represents the temperature of a hot body as it cools over time. The x-axis typically represents time, while the y-axis represents temperature.

2. **Newton's Law of Cooling**: According to Newton's Law of Cooling, the rate of change of temperature of an object is proportional to the difference between its temperature and the ambient temperature. This can be expressed mathematically as:
\[ \frac{dT}{dt} = -k(T - T_a) \]
where \( T \) is the temperature of the object, \( T_a \) is the ambient temperature, and \( k \) is a positive constant.

3. **Cooling Curve Characteristics**:
- The curve starts at a higher temperature and decreases over time.
- The rate of cooling decreases as the temperature approaches the ambient temperature.
- The slope of the cooling curve (i.e., \(\frac{dT}{dt}\)) is negative, indicating that the temperature is decreasing.

4. **Identifying False Statements**: The question asks for a statement that is not true regarding the cooling curve. Common misconceptions might include:
- The temperature of the body never reaches the ambient temperature.
- The cooling rate remains constant throughout the cooling process.
- The curve can be linear, which is not true as it typically follows an exponential decay.

5. **Evaluating Options**: Without specific options provided in the question, we can conclude that any statement suggesting that the cooling process is constant or that the temperature does not approach the ambient temperature would be false.

### Conclusion:
The statement that is not true regarding the cooling curve is likely one that contradicts the principles of Newton's Law of Cooling or misrepresents the behavior of the cooling process.