The specific charge of an electron is

Options

A. `1.6 xx 10^(-19)` coulomb
B. `4.8 xx 10^(-10)` statcoulomb
C. `1.76 xx 10^11` coulomb/kg
D. `|8| xx 10^(-15) Hz`

Explanation

To find the specific charge of an electron, we need to calculate the ratio of its charge (E) to its mass (M). The specific charge is defined as:

\[ \text{Specific Charge} = \frac{E}{M} \]

### Step 1: Identify the charge of the electron (E)
The charge of an electron is a known constant:
\[ E = 1.6 \times 10^{-19} \text{ C} \]

### Step 2: Identify the mass of the electron (M)
The mass of an electron is also a known constant:
\[ M = 9.1 \times 10^{-31} \text{ kg} \]

### Step 3: Calculate the specific charge
Now, we can substitute the values of E and M into the specific charge formula:
\[ \text{Specific Charge} = \frac{E}{M} = \frac{1.6 \times 10^{-19} \text{ C}}{9.1 \times 10^{-31} \text{ kg}} \]

### Step 4: Perform the calculation
Calculating the above expression:
\[ \text{Specific Charge} = \frac{1.6}{9.1} \times 10^{(-19 + 31)} = \frac{1.6}{9.1} \times 10^{12} \]

Calculating \(\frac{1.6}{9.1}\):
\[ \frac{1.6}{9.1} \approx 0.1758 \]

Now, multiplying by \(10^{12}\):
\[ \text{Specific Charge} \approx 0.1758 \times 10^{12} \approx 1.76 \times 10^{11} \text{ C/kg} \]

### Conclusion
Therefore, the specific charge of an electron is approximately:
\[ \text{Specific Charge} \approx 1.76 \times 10^{11} \text{ C/kg} \]