Assertion : Number of significant figure in `0.005` is one and that is `0.500` is three
Reason : This is became zeros are not significant

Options

A. (a)If both Assertion and Reason are correct and Reason is the correct explaination of Assertion.
B. (b)If both Assertion and Reason are correct but Reason is not the correct explaination of Assertion.
C. (c)If Assertion is true but Reason is false.
D. (d)If Assertion is false but Reason is true.

Answer

To analyze the assertion and reason given in the question, we will break down the concepts of significant figures and apply them to the numbers provided.

### Step-by-Step Solution:

1. **Understanding Significant Figures**:
- Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal part.

2. **Analyzing the Number `0.005`**:
- The number `0.005` has leading zeros (the zeros before the `5`).
- According to the rules of significant figures, leading zeros are not counted as significant.
- Therefore, the only significant figure in `0.005` is `5`.
- **Conclusion**: `0.005` has **1 significant figure**.

3. **Analyzing the Number `0.500`**:
- The number `0.500` also has leading zeros, but it has trailing zeros after the decimal point.
- Trailing zeros in a decimal number are considered significant because they indicate precision.
- In `0.500`, the digits `5`, `0`, and `0` are all significant.
- **Conclusion**: `0.500` has **3 significant figures**.

4. **Evaluating the Assertion and Reason**:
- **Assertion**: The number of significant figures in `0.005` is one, and in `0.500` it is three. This is **true**.
- **Reason**: The reason states that this is because zeros are not significant. This is **false** because while leading zeros are not significant, trailing zeros in a decimal are significant.

5. **Final Conclusion**:
- The assertion is true, but the reason is false. Therefore, the correct answer is that the assertion is true but the reason is false.

### Final Answer:
The answer is **C**: Assertion is true, but the reason is false.