The number of electrons in 1.6 C charge will be

Options

A. `10^(19)`
B. `10^(20)`
C. `1.1xx10^(19)`
D. `1.1 xx 10^2`

Answer

To find the number of electrons in a charge of 1.6 C, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Charge of an Electron**:
The charge of a single electron is approximately \( e = 1.6 \times 10^{-19} \) coulombs.

2. **Use the Formula for Total Charge**:
The total charge \( Q \) can be expressed in terms of the number of electrons \( n \) and the charge of one electron:
\[ Q = n \cdot e \]

3. **Rearrange the Formula to Solve for \( n \)**:
We can rearrange the equation to find \( n \):
\[ n = \frac{Q}{e} \]

4. **Substitute the Values**:
Substitute \( Q = 1.6 \, \text{C} \) and \( e = 1.6 \times 10^{-19} \, \text{C} \):
\[ n = \frac{1.6 \, \text{C}}{1.6 \times 10^{-19} \, \text{C}} \]

5. **Calculate \( n \)**:
Simplifying the expression:
\[ n = \frac{1.6}{1.6 \times 10^{-19}} = \frac{1.6}{1.6} \times 10^{19} = 1 \times 10^{19} \]
Thus,
\[ n = 10^{19} \]

### Final Answer:
The number of electrons in a charge of 1.6 C is \( 10^{19} \).

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