An electron having charge `'e'` and mass `'m'` is moving a uniform electric field `E`. Its acceleration will be

Options

A. `(e^(2))/(m)`
B. `(E^(2)e)/(m)`
C. `(eE)/(m)`
D. `(mE)/(e )`

Explanation

To find the acceleration of an electron moving in a uniform electric field, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Quantities**:
- Charge of the electron, \( q = -e \) (the negative sign indicates that it is an electron).
- Mass of the electron, \( m \).
- Uniform electric field, \( E \).

2. **Determine the Force Acting on the Electron**:
- The force \( F \) acting on a charged particle in an electric field is given by the formula:
\[ F = qE \]
- Substituting the charge of the electron:
\[ F = -eE \]
- The negative sign indicates that the force is in the opposite direction of the electric field.

3. **Apply Newton's Second Law**:
- According to Newton's second law, the relationship between force, mass, and acceleration is given by:
\[ F = ma \]
- Here, \( a \) is the acceleration of the electron.

4. **Set Up the Equation**:
- From the force equation, we can equate the two expressions for force:
\[ -eE = ma \]

5. **Solve for Acceleration**:
- Rearranging the equation to solve for acceleration \( a \):
\[ a = \frac{-eE}{m} \]
- The negative sign indicates that the acceleration is in the direction opposite to the electric field.

6. **Final Result**:
- The acceleration of the electron in the uniform electric field is:
\[ a = \frac{eE}{m} \]
- (We can drop the negative sign when discussing magnitude).