An electron initially at rest is accelerated through a potential difference of one volt. The energy gained by the electron is

Options

A. 1J
B. `1.6 xx 10^(-19)J`
C. `10^(-19)J`
D. None of these

Explanation

To find the energy gained by an electron when it is accelerated through a potential difference of 1 volt, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept**: When an electron is accelerated through a potential difference (V), it gains electrical potential energy. The energy gained (U) can be calculated using the formula:
\[ U = q \times V \]
where \( q \) is the charge of the electron and \( V \) is the potential difference.

2. **Identify the Charge of the Electron**: The charge of an electron is a known constant:
\[ q = -1.6 \times 10^{-19} \text{ coulombs} \]
(Note: The negative sign indicates the charge is negative, but for energy calculations, we will use the absolute value.)

3. **Substitute the Values**: The potential difference given in the question is:
\[ V = 1 \text{ volt} \]
Now, substitute the values of \( q \) and \( V \) into the energy formula:
\[ U = (1.6 \times 10^{-19} \text{ C}) \times (1 \text{ V}) \]

4. **Calculate the Energy**: Performing the multiplication:
\[ U = 1.6 \times 10^{-19} \text{ joules} \]

5. **Conclusion**: The energy gained by the electron when it is accelerated through a potential difference of 1 volt is:
\[ U = 1.6 \times 10^{-19} \text{ joules} \]

### Final Answer:
The energy gained by the electron is \( 1.6 \times 10^{-19} \) joules.

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