The charge to mass ratio of electron was found out to be

Options

A. `1.6022xx10^(-19) kg^(-1)`
B. `1.925xx 10^(12) C kg^(-1)`
C. `1.758 xx 10^(11) C kg^(-1)`
D. `1.869 xx 10 ^(13 ) C kg ^(-1)`

Answer

To find the charge to mass ratio of an electron, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Charge of the Electron**:
The charge of an electron (e) is known to be approximately:
\[ e = 1.6 \times 10^{-19} \text{ coulombs} \]

2. **Identify the Mass of the Electron**:
The mass of an electron (m) is approximately:
\[ m = 9.1 \times 10^{-31} \text{ kilograms} \]

3. **Calculate the Charge to Mass Ratio**:
The charge to mass ratio (e/m) can be calculated using the formula:
\[ \frac{e}{m} = \frac{1.6 \times 10^{-19}}{9.1 \times 10^{-31}} \]

4. **Perform the Division**:
Now, we perform the division:
\[ \frac{1.6 \times 10^{-19}}{9.1 \times 10^{-31}} \approx 1.758 \times 10^{11} \text{ coulombs per kilogram} \]

5. **Express in Standard Form**:
The result can be expressed as:
\[ \frac{e}{m} \approx 1.758 \times 10^{11} \text{ C/kg} \]

6. **Final Result**:
Therefore, the charge to mass ratio of the electron is:
\[ \frac{e}{m} \approx 1.758 \times 10^{11} \text{ C/kg} \]