Assertion. The number `14.56pm0.01` has three significant figures.
Reason. Number of significant figures is total number of digits except the last digit whose value is uncertain.

Options

A. If both assertion and reason are true, and reason is the true explanation of the assertion.
B. If both assertion and reason are true, but reason is not the true explanation of the assetion.
C. If assertion is true, but reason if false
D. If both assertion and reason are false.

Explanation

To solve the question, we need to analyze both the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that the number `14.56 ± 0.01` has three significant figures.
- To determine the number of significant figures, we need to look at the digits in the number `14.56`.
- The digits are `1`, `4`, `5`, and `6`. All of these are non-zero digits.

2. **Counting Significant Figures**:
- According to the rules of significant figures, all non-zero digits are significant.
- Therefore, `14.56` has **four significant figures**: `1`, `4`, `5`, and `6`.

3. **Conclusion on the Assertion**:
- Since `14.56` has four significant figures, the assertion that it has three significant figures is **false**.

4. **Understanding the Reason**:
- The reason states that the number of significant figures is the total number of digits except the last digit whose value is uncertain.
- This statement is misleading. The last digit in a measurement does represent uncertainty, but it is still counted as a significant figure.
- For example, in `14.56`, all four digits are significant, including the last digit `6`.

5. **Conclusion on the Reason**:
- The reason provided is also **false** because it incorrectly describes how to count significant figures.

### Final Conclusion:
Both the assertion and the reason are false. Therefore, the correct answer is that both statements are incorrect.