Which is incorrect curve for Boyle's law ?

Options

A.
B.
C.
D.

Explanation

To determine which curve is incorrect for Boyle's Law, we need to understand the principles behind Boyle's Law and how it is represented graphically.

### Step-by-Step Solution:

1. **Understanding Boyle's Law**:
Boyle's Law states that for a given mass of gas at constant temperature, the pressure (P) of the gas is inversely proportional to its volume (V). Mathematically, this can be expressed as:
\[ PV = k \]
where \( k \) is a constant.

2. **Graphical Representation**:
- The relationship can be represented graphically in different ways:
- **P vs V**: A hyperbolic curve that shows that as volume increases, pressure decreases.
- **P vs 1/V**: A linear graph where pressure increases as the inverse of volume increases.
- **log(P) vs log(V)**: A linear graph where the slope is negative, indicating an inverse relationship.

3. **Identifying Incorrect Curves**:
- We need to analyze the given options to identify which ones do not conform to Boyle's Law.
- If a graph shows a direct relationship between pressure and volume (i.e., as volume increases, pressure also increases), it would be incorrect according to Boyle's Law.

4. **Evaluating Each Option**:
- **Option A**: If it shows an increasing pressure with increasing volume, it is incorrect.
- **Option B**: If it shows a linear relationship between pressure and 1/V, it is correct.
- **Option C**: If it shows a negative slope in log(P) vs log(V), it is correct.
- **Option D**: If it shows a hyperbolic curve for P vs V, it is correct.

5. **Conclusion**:
After evaluating the options based on the principles of Boyle's Law, we find that Options A and C are the incorrect curves for Boyle's Law.

### Final Answer:
The incorrect curves for Boyle's Law are **Option A and Option C**.

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