Question

In a particular region of space, a uniform electric field has a magnitude of E​0​​ and points directly to the right.   A negative charge is placed in this region and released from rest. Which of the following statements accurately describes the subsequent motion of the negative charge? You may neglect gravity and air resistance for this question.

A. The negative charge moves to the right with a constant velocity.

B. The negative charge moves to the left with a constant velocity.

C. The negative charge will oscillate back and forth (left and right)

D. The negative charge moves to the right with an increasing velocity over time.

E. The negative charge moves to the left with an increasing velocity over time.

F. The negative charge remains stationary.

Answer 1

Force on a charge in electric field is given by :

F = qE

here q is charge and E is electric field in vector notation.

if charge is positive then electric force is in direction of electric field.

if charge is negative then electric force is opposite to electric field.

here electric field is rightward and charge is negative so it will feel force toward left.

due to this force particle will accelerate leftward with some acceleration. Due to this acceleration it’s velocity will increases in left direction

so correct answer is (E) .