The specific charge of an electron is

Options

A. `5.7xx10^7` coulomb/kg
B. `1.76xx10^11` coulomb/kg
C. `1.6xx10^(-19)` coulomb/gm
D. `1.6xx10^(-19)` coulomb

Explanation

To find the specific charge of an electron, we can follow these steps:

### Step 1: Understand the definition of specific charge
The specific charge is defined as the charge per unit mass of a particle. For an electron, we denote its charge as \( e \) and its mass as \( m \).

### Step 2: Identify the values for charge and mass of an electron
From known values:
- Charge of an electron, \( e = 1.6 \times 10^{-19} \) coulombs
- Mass of an electron, \( m = 9.1 \times 10^{-31} \) kg

### Step 3: Use the formula for specific charge
The specific charge \( \text{Specific Charge} \) is calculated using the formula:
\[ \text{Specific Charge} = \frac{e}{m} \]

### Step 4: Substitute the values into the formula
Substituting the known values into the formula:
\[ \text{Specific Charge} = \frac{1.6 \times 10^{-19} \text{ C}}{9.1 \times 10^{-31} \text{ kg}} \]

### Step 5: Perform the calculation
Calculating the above expression:
\[ \text{Specific Charge} \approx 1.76 \times 10^{11} \text{ C/kg} \]

### Step 6: State the final answer
Thus, the specific charge of an electron is approximately:
\[ 1.76 \times 10^{11} \text{ C/kg} \]