STATEMENT-1 `:` If distance between plates of charged and isolated parallel plate capacitor increases then force between plates decreases.
and
STATEMENT-2 `:` Force between two point charges is inversely proportional to the square of distance of separation.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1
C. Statement-1 is True, Statement-2 is False
D. Statement-1 is False , Statement-2 is True

Answer

To analyze the statements provided, we will evaluate each statement step by step.

### Step 1: Evaluate Statement 1
**Statement 1:** If the distance between the plates of a charged and isolated parallel plate capacitor increases, then the force between the plates decreases.

1. **Understanding the Parallel Plate Capacitor:**
- A parallel plate capacitor consists of two plates with equal and opposite charges (+Q and -Q).
- The electric field (E) between the plates is given by the formula:
\[ E = \frac{\sigma}{\epsilon_0} = \frac{Q}{A \epsilon_0} \]
where \(\sigma\) is the surface charge density, \(Q\) is the charge on one plate, \(A\) is the area of the plates, and \(\epsilon_0\) is the permittivity of free space.

2. **Force on the Plates:**
- The force (F) on one plate due to the electric field created by the other plate can be calculated as:
\[ F = Q \cdot E = Q \cdot \frac{Q}{2A \epsilon_0} = \frac{Q^2}{2A \epsilon_0} \]
- Notice that this expression for force does not depend on the distance (d) between the plates.

3. **Conclusion for Statement 1:**
- Since the force between the plates does not depend on the distance between them, increasing the distance does not decrease the force. Therefore, **Statement 1 is false.**

### Step 2: Evaluate Statement 2
**Statement 2:** Force between two point charges is inversely proportional to the square of the distance of separation.

1. **Understanding Coulomb's Law:**
- According to Coulomb's law, the force (F) between two point charges \(Q_1\) and \(Q_2\) separated by a distance \(r\) is given by:
\[ F = k \cdot \frac{Q_1 Q_2}{r^2} \]
where \(k\) is Coulomb's constant (\(k = \frac{1}{4 \pi \epsilon_0}\)).

2. **Conclusion for Statement 2:**
- From Coulomb's law, it is clear that the force is indeed inversely proportional to the square of the distance between the charges. Thus, **Statement 2 is true.**

### Final Conclusion:
- **Statement 1 is false.**
- **Statement 2 is true.**

### Answer:
- Therefore, the correct answer is that Statement 1 is false and Statement 2 is true.

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