Among the following curves, which is not according to Charle's law ?

Options

A.
B.
C.
D.

Explanation

To determine which of the given curves is not according to Charles's law, we need to first understand what Charles's law states.

### Step-by-Step Solution:

1. **Understanding Charles's Law**:
- Charles's law states that for a fixed amount of gas at constant pressure, the volume (V) of the gas is directly proportional to its absolute temperature (T). This can be mathematically expressed as:
\[ V \propto T \quad \text{(at constant pressure)} \]
- This can also be written as:
\[ V = kT \]
where \( k \) is a constant.

2. **Identifying the Graphs**:
- We need to analyze the given options (curves) to see which one does not represent the relationship described by Charles's law.

3. **Analyzing Each Option**:
- **Option A**: If the graph shows a straight line passing through the origin (0,0), it represents \( V \propto T \). This is consistent with Charles's law.
- **Option B**: If the graph is of the form \( \log V \) versus \( T \), it can be expressed as:
\[ \log V = \log k + \log T \]
This is a linear relationship and will not pass through the origin, but it still represents a valid relationship.
- **Option C**: If the graph is of the form \( V \) versus \( T^2 \), it can be expressed as:
\[ V \propto T^2 \]
This is not consistent with Charles's law, which states that volume is directly proportional to temperature, not its square.
- **Option D**: If the graph shows \( V/T \) as a constant, it implies that the ratio \( V/T \) is constant, which is also a valid representation of Charles's law.

4. **Conclusion**:
- Among the options analyzed, **Option C** (which suggests a relationship of \( V \propto T^2 \)) does not conform to Charles's law. Therefore, this is the correct answer.

### Final Answer:
**Option C is not according to Charles's law.**