A point cahrge `q` is placed at a point inside a hollow condcting sphere . Wheich of the following electric force pattern is correct ?

Options

A.
B.
C.
D.

Explanation

To solve the problem of determining the correct electric force pattern when a point charge \( q \) is placed inside a hollow conducting sphere, we can follow these steps:

### Step 1: Understand the properties of conductors in electrostatics
When a charge is placed inside a conducting material, the electric field inside the conductor must be zero. This is a fundamental property of conductors in electrostatic equilibrium.

**Hint:** Remember that electric field lines cannot exist inside a conductor in electrostatic equilibrium.

### Step 2: Analyze the effect of the point charge on the conducting sphere
When a point charge \( q \) is placed inside the hollow conducting sphere, it induces a charge on the inner surface of the sphere. This induced charge will be equal in magnitude but opposite in sign to the charge \( q \).

**Hint:** Induced charges on the surface of a conductor will always adjust to maintain zero electric field inside the conductor.

### Step 3: Determine the electric field lines
Since the electric field inside the conducting material of the sphere is zero, the electric field lines due to the point charge \( q \) will terminate on the inner surface of the sphere. The outer surface of the sphere will have a net charge equal to \( +q \) (if \( q \) is positive) due to the conservation of charge.

**Hint:** Visualize how electric field lines behave in the presence of charges and how they terminate on surfaces.

### Step 4: Evaluate the options given in the question
Now, we need to evaluate the provided options for the electric field pattern. The correct pattern should show:
- No electric field lines inside the conducting material.
- Electric field lines originating from the point charge and terminating on the inner surface of the sphere.
- Electric field lines emerging perpendicularly from the outer surface of the sphere.

**Hint:** Look for options that show electric field lines correctly terminating on the inner surface and emerging perpendicularly from the outer surface.

### Step 5: Identify the correct option
After analyzing the options, the correct electric force pattern will be the one that satisfies the conditions mentioned above. The correct option should depict:
- No electric field lines inside the conductor.
- Electric field lines from the point charge terminating at the inner surface.
- Electric field lines emerging perpendicularly from the outer surface.

**Hint:** Ensure that the selected option adheres to the principles of electrostatics regarding conductors.

### Conclusion
The correct answer to the question is the option that accurately represents the behavior of electric field lines in the presence of a point charge inside a hollow conducting sphere, which is typically the first option if it meets all the criteria discussed.