Statement-1: The number of significant figures in 0.001 is 1 while in 0.100 it is 3.
Statement-II: Zeros before a non-zero significant digit are not counted while zeros after a non-zero significant digit are counted .

Options

A. Statement-1 is true and statement -2 is true
B. Statement -1 is true and statement-2 is false
C. Statement-1 is false and statement -2 is true
D. Statement-1 is false and statement -2 is false

Answer

To solve the question, we will analyze both statements regarding significant figures and determine their validity.

### Step 1: Analyze Statement 1
**Statement 1:** The number of significant figures in 0.001 is 1 while in 0.100 it is 3.

- For the number **0.001**:
- The leading zeros (the three zeros before the 1) are not counted as significant figures.
- The only significant figure here is the digit **1**.
- Therefore, **0.001 has 1 significant figure**.

- For the number **0.100**:
- The first zero before the 1 is not counted, but the two zeros after the 1 are counted as significant figures because they come after a decimal point and a non-zero digit.
- Thus, the significant figures in **0.100** are **1, 0, and 0**.
- Therefore, **0.100 has 3 significant figures**.

**Conclusion for Statement 1:** This statement is **true**.

### Step 2: Analyze Statement 2
**Statement 2:** Zeros before a non-zero significant digit are not counted while zeros after a non-zero significant digit are counted.

- This statement describes the rules for counting significant figures:
- **Leading zeros** (zeros before the first non-zero digit) are not counted.
- **Trailing zeros** (zeros after a non-zero digit and after a decimal point) are counted as significant figures.

**Conclusion for Statement 2:** This statement is also **true**.

### Final Conclusion
Both statements are correct:
- **Statement 1 is true**: 0.001 has 1 significant figure, and 0.100 has 3 significant figures.
- **Statement 2 is true**: The rules for counting significant figures are correctly stated.

### Answer
Both statements are true.

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