A point charge is brought in an electric field. The electric field at a nearby point
(i) will increase if the charge is `+ve`
(ii) will decrease if the charge is `-ve`
(iii) may increase if the charge is `+ve`
(iv) may decrease if the charge is `-ve`

Options

A. `(i),(ii)`
B. `(ii),(iii)`
C. `(i),(iv)`
D. `(iii),(iv)`

Answer

To solve the question regarding the effects of a point charge in an electric field, we need to analyze the behavior of electric fields and point charges. Here's a step-by-step solution:

### Step 1: Understand Electric Fields
An electric field is created by a charge and exerts a force on other charges placed within that field. The direction of the electric field is away from positive charges and towards negative charges.

**Hint:** Remember that electric fields are vector fields and depend on the nature of the source charge.

### Step 2: Effect of a Positive Charge
When a positive point charge is brought into an electric field, it will experience a force in the direction of the electric field. This means that the electric field strength at that point will effectively increase because the positive charge will add to the existing electric field.

**Hint:** Consider how the field lines behave when a positive charge is introduced into an existing electric field.

### Step 3: Effect of a Negative Charge
Conversely, if a negative point charge is introduced into the electric field, it will experience a force in the opposite direction of the electric field. This can lead to a decrease in the effective electric field at that point since the negative charge opposes the direction of the field.

**Hint:** Think about how the negative charge interacts with the electric field lines and how it affects the overall field strength.

### Step 4: Conclusion on the Statements
Now, let's evaluate the statements given in the question:
1. The electric field will increase if the charge is positive - **True**.
2. The electric field will decrease if the charge is negative - **True**.
3. The electric field may increase if the charge is positive - **True** (it depends on the existing field).
4. The electric field may decrease if the charge is negative - **True** (it depends on the existing field).

### Final Answer
All four statements can be true under different circumstances.

**Hint:** Analyze each statement based on the nature of the charge and the existing electric field to determine if they hold true.