The kinetic energy of an electron accelerated from rest through a potential difference of 10V will be:

Options

A. 10V
B. 10eV
C. 10erg
D. 1v

Explanation

To find the kinetic energy of an electron accelerated from rest through a potential difference of 10V, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between electric potential and kinetic energy**:
When an electron is accelerated through a potential difference (V), it gains kinetic energy (KE). The relationship is given by:
\[ KE = eV \]
where \( e \) is the charge of the electron (approximately \( 1.6 \times 10^{-19} \) coulombs) and \( V \) is the potential difference in volts.

2. **Substitute the given values**:
In this case, the potential difference \( V \) is given as 10 volts. Therefore, we can substitute this value into the equation:
\[ KE = e \times 10 \]

3. **Calculate the kinetic energy**:
Using the value of the charge of the electron:
\[ KE = (1.6 \times 10^{-19} \text{ C}) \times (10 \text{ V}) = 1.6 \times 10^{-18} \text{ J} \]

4. **Convert the kinetic energy to electron volts**:
Since 1 electron volt (eV) is defined as the kinetic energy gained by an electron when it is accelerated through a potential difference of 1 volt, we can express the kinetic energy in electron volts:
\[ KE = 10 \text{ eV} \]

5. **Final Answer**:
Therefore, the kinetic energy of the electron accelerated through a potential difference of 10V is:
\[ KE = 10 \text{ eV} \]