An electron enters in high potential region `V_(2)` from lower potential region `V_(1)` then its velocity

Options

A. will increase
B. will change in direction but not in magnitude
C. No change in direction of field
D. No change in direction perpendicular to field

Answer

To solve the problem of an electron entering a high potential region \( V_2 \) from a lower potential region \( V_1 \), we can analyze the situation step by step.

### Step 1: Understanding Electric Potential
The electric potential \( V \) is a measure of the potential energy per unit charge at a point in an electric field. When an electron moves from a lower potential \( V_1 \) to a higher potential \( V_2 \), it is moving against the direction of the electric field.

**Hint:** Remember that electric field lines point from high potential to low potential.

### Step 2: Direction of Electric Field
The electric field \( \vec{E} \) points from the high potential region to the low potential region. For an electron, which has a negative charge, the force acting on it will be in the opposite direction to that of the electric field.

**Hint:** The force on a charge in an electric field is given by \( \vec{F} = q\vec{E} \). For an electron, \( q \) is negative.

### Step 3: Force on the Electron
Since the electron is negatively charged, the force \( \vec{F} \) acting on it will be directed from \( V_2 \) to \( V_1 \). This means that as the electron moves into the high potential region, it experiences a force that accelerates it in the direction of its motion.

**Hint:** The direction of the force on a negative charge is opposite to the direction of the electric field.

### Step 4: Acceleration of the Electron
When the electron enters the high potential region, the force acting on it causes it to accelerate. Since the force and the velocity of the electron are in the same direction (the direction of motion), the electron will gain kinetic energy and its velocity will increase.

**Hint:** Recall Newton's second law, \( F = ma \), where \( F \) is the net force, \( m \) is mass, and \( a \) is acceleration.

### Step 5: Conclusion
As the electron moves from a lower potential \( V_1 \) to a higher potential \( V_2 \), it experiences a force that causes it to accelerate in the direction of its motion. Therefore, the velocity of the electron increases as it moves into the high potential region.

**Final Answer:** The velocity of the electron increases.