Which of the following figure represents the field lines due to a single negative charge ?

Options

A.
B.
C.
D.

Explanation

To determine which figure represents the electric field lines due to a single negative charge, we can follow these steps:

### Step 1: Understand the Nature of Electric Field Lines
Electric field lines represent the direction of the electric field created by a charge. For a positive charge, the field lines radiate outward, while for a negative charge, the field lines converge inward.

**Hint:** Remember that electric field lines point towards negative charges and away from positive charges.

### Step 2: Analyze the Characteristics of a Negative Charge
A negative charge attracts positive charges. Therefore, if we place a small positive test charge near a negative charge, the test charge will experience an attractive force towards the negative charge.

**Hint:** Consider how a positive test charge would behave in the presence of a negative charge.

### Step 3: Visualize the Electric Field Lines
For a single negative charge, the electric field lines will be directed radially inward towards the charge. This means that the lines will start from infinity and point towards the negative charge.

**Hint:** Picture the lines as arrows pointing towards the center of the negative charge.

### Step 4: Evaluate the Given Options
Now, we need to look at the provided figures and identify which one shows the electric field lines directed radially inward towards the negative charge.

- **Option A:** If the lines are directed outward, it represents a positive charge.
- **Option B:** If the lines are directed inward, it represents a negative charge.
- **Option C:** If the lines are parallel, it does not represent a point charge.
- **Option D:** If the lines are not radial, it does not represent a point charge.

**Hint:** Check each option carefully to see which one shows lines converging towards a point.

### Step 5: Conclusion
After analyzing the options, the correct representation of the electric field lines due to a single negative charge is the option that shows the lines directed radially inward.

**Final Answer:** The correct option is **Option B**.