1 state- Coulomb = ….. Coulomb

Options

A. `3xx10^(9)`
B. `3xx10^(-9)`
C. `(1)/(3) xx10^(9)`
D. `(1)/(3) xx10^(-9)`

Explanation

To find the relationship between the cgs unit of charge (statcoulomb) and the SI unit of charge (coulomb), we can use the charge of an electron as a reference point.

### Step-by-Step Solution:

1. **Identify the charge of an electron in both units**:
- The charge of an electron is approximately \( 4.8 \times 10^{-10} \) statcoulombs (cgs unit).
- The charge of an electron is also approximately \( 1.6 \times 10^{-19} \) coulombs (SI unit).

2. **Set up the relationship**:
- We want to find out how many coulombs are equivalent to one statcoulomb. We can set up the equation:
\[ 1 \text{ statcoulomb} = \frac{1.6 \times 10^{-19} \text{ coulombs}}{4.8 \times 10^{-10} \text{ statcoulombs}} \]

3. **Perform the division**:
- Calculate the value:
\[ 1 \text{ statcoulomb} = \frac{1.6 \times 10^{-19}}{4.8 \times 10^{-10}} \text{ coulombs} \]

4. **Simplify the calculation**:
- Dividing the numbers:
\[ 1.6 \div 4.8 = \frac{1.6}{4.8} = \frac{1.6 \times 10^{-19}}{4.8 \times 10^{-10}} = \frac{1.6}{4.8} \times 10^{-19 + 10} = \frac{1.6}{4.8} \times 10^{-9} \]
- This simplifies to:
\[ 1.3 \times 10^{-9} \text{ coulombs} \]

5. **Final result**:
- Therefore, we conclude that:
\[ 1 \text{ statcoulomb} = 1.3 \times 10^{-9} \text{ coulombs} \]

### Final Answer:
1 statcoulomb = \( 1.3 \times 10^{-9} \) coulombs.

---