Question

An electron, which has charge \( e \) and mass \( m \), is moving in a uniform electric field \( E \). Its acceleration is:

• A. \( \frac{E}{m} \)
• B. \( \frac{Ee}{m} \)
• C. \( \frac{m}{Ee} \)
• D. \( \frac{e}{m} \)

Hint:

The acceleration of a charged particle in an electric field is directly proportional to the charge and the field strength.

Answer 1

The Correct Option is B

Step 1: Formula for Acceleration.
The force on the electron due to the electric field is \( F = eE \), and by Newton’s second law, the acceleration \( a \) is given by: \[ a = \frac{F}{m} = \frac{eE}{m} \]
Step 2: Conclusion.
Therefore, the acceleration of the electron is \( \frac{Ee}{m} \), so the correct answer is (B).