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

Options

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

Answer

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

### Step 1: Identify the charge of the electron
The charge of the electron (e) is given as:
\[ e = 1.6 \times 10^{-19} \, \text{C} \]

### Step 2: Identify the mass of the electron
The mass of the electron (m) is given as:
\[ m = 9.1 \times 10^{-31} \, \text{kg} \]

### Step 3: Calculate the charge to mass ratio
The charge to mass ratio (e/m) can be calculated using the formula:
\[ \frac{e}{m} = \frac{1.6 \times 10^{-19} \, \text{C}}{9.1 \times 10^{-31} \, \text{kg}} \]

### Step 4: Perform the calculation
Now, we will perform the division:
\[ \frac{1.6 \times 10^{-19}}{9.1 \times 10^{-31}} \]

Calculating this gives:
\[ \frac{1.6}{9.1} \approx 0.1758 \]
And for the powers of ten:
\[ 10^{-19} \div 10^{-31} = 10^{12} \]

So, combining these results:
\[ \frac{e}{m} \approx 0.1758 \times 10^{12} \]
This can be expressed as:
\[ \frac{e}{m} \approx 1.758 \times 10^{11} \, \text{C/kg} \]

### Step 5: Conclusion
Thus, the charge to mass ratio of the electron is:
\[ \frac{e}{m} \approx 1.758 \times 10^{11} \, \text{C/kg} \]