The kinetic energy of an electron accelerated from rest through a potential difference of 50V will be:

Options

A. 5eV
B. 50eV
C. 50V
D. 50erg

Explanation

To solve the problem of finding the kinetic energy of an electron accelerated from rest through a potential difference of 50V, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between potential difference and kinetic energy**:
The kinetic energy (KE) gained by a charged particle (like an electron) when it is accelerated through a potential difference (V) is given by the formula:
\[ KE = qV \]
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 approximately:
\[ q = 1.6 \times 10^{-19} \text{ C} \]

3. **Substitute the values into the formula**:
Given that the potential difference \( V = 50 \text{ V} \), we can substitute the values into the kinetic energy formula:
\[ KE = (1.6 \times 10^{-19} \text{ C})(50 \text{ V}) \]

4. **Calculate the kinetic energy**:
Performing the multiplication:
\[ KE = 1.6 \times 10^{-19} \times 50 = 8.0 \times 10^{-18} \text{ J} \]

5. **Convert the kinetic energy from joules to electron volts**:
Since 1 electron volt (eV) is defined as the energy gained by an electron when accelerated through a potential difference of 1 volt, we can express the kinetic energy in electron volts:
\[ KE = 50 \text{ eV} \]

### Final Answer:
The kinetic energy of an electron accelerated from rest through a potential difference of 50V is **50 eV**.