To solve the problem step-by-step, we will analyze the situation involving the positively charged ball, the neutral conducting sphere, and the grounding process.
### Step 1: Understand the Initial Conditions
- We have a neutral conducting sphere and a positively charged ball (let's denote its charge as +Q).
- The sphere is initially neutral, meaning it has an equal number of positive and negative charges.
**Hint:** Consider the behavior of charges in conductors when an external charge is introduced.
### Step 2: Bring the Charged Ball Near the Sphere
- When the positively charged ball is brought close to the neutral conducting sphere, it induces a separation of charges in the sphere due to electrostatic induction.
- The positive charge of the ball repels the positive charges in the sphere, causing them to move away from the side facing the ball. This results in a concentration of negative charges on the side of the sphere closest to the ball.
**Hint:** Think about how charges interact with each other and how they can move within a conductor.
### Step 3: Ground the Sphere
- While the positively charged ball is near the sphere, the sphere is grounded. This means that the negative charges that have accumulated on the sphere can flow into the ground.
- As a result, the sphere loses some of its negative charge to the ground, leaving it with an overall negative charge after the grounding process is removed.
**Hint:** Remember that grounding allows charges to move freely to or from the Earth, which is a large reservoir of charge.
### Step 4: Remove the Ground Connection
- After grounding, when the ground connection is removed, the sphere retains the negative charge that it has acquired.
- The negative charges that were induced on the surface of the sphere are now fixed there because the grounding has been removed.
**Hint:** Consider what happens to the charge distribution once the grounding is disconnected.
### Step 5: Analyze Statement 1
- **Statement 1:** The sphere will acquire a negative charge after this process.
- This statement is true because the sphere has indeed acquired a negative charge due to the grounding process while the positively charged ball was nearby.
**Hint:** Reflect on the process of charge induction and how grounding affects the charge of the conductor.
### Step 6: Consider the Second Scenario
- Now, if the sphere remains grounded and the positively charged ball is moved away, the influence of the ball is removed.
- The negative charges that were induced on the sphere will flow back to the ground because the sphere is still grounded.
**Hint:** Think about the role of grounding in allowing charges to return to their neutral state.
### Step 7: Analyze Statement 2
- **Statement 2:** If the sphere is kept grounded and the positively charged ball is moved away, the sphere will again become neutral.
- This statement is also true because the negative charges will leave the sphere and return to the ground.
**Hint:** Consider the implications of grounding in relation to the presence and absence of external charges.
### Step 8: Conclusion
- Both statements are true, but they are independent of each other. Statement 2 does not explain Statement 1; they are separate observations about the behavior of the sphere under different conditions.
**Final Answer:**
- Statement 1 is true.
- Statement 2 is true.
- However, Statement 2 is not a correct explanation for Statement 1.
**Correct Option:** Option B - Statement 1 is true, Statement 2 is true, but Statement 2 is not a correct explanation for Statement 1.
