If three capacitors are connected in a parallel capacitor network then, Choose the correct statements out of the following:
(l) Potential difference across each capacitor is same.
(II) For each capacitor, charges is different
(III) Voltage applied is different for each capacitor.
(IV)For each capacitor, charges are same.

Options

A. (II) and (III)
B. (l) and (II)
C. (l) and (III)
D. (III) and (IV)

Explanation

To solve the problem regarding the characteristics of capacitors connected in a parallel network, we will analyze each statement one by one.

### Step-by-Step Solution

1. **Understanding Capacitors in Parallel:**
- When capacitors are connected in parallel, they share the same voltage across their terminals. This is a fundamental property of parallel circuits.

2. **Analyzing Statement (I):**
- **Statement (I):** "Potential difference across each capacitor is same."
- Since all capacitors in a parallel configuration are connected directly across the same voltage source, this statement is **correct**.

3. **Analyzing Statement (II):**
- **Statement (II):** "For each capacitor, charge is different."
- The charge on each capacitor can be calculated using the formula \( Q = C \times V \), where \( C \) is the capacitance and \( V \) is the voltage. Since the voltage \( V \) is the same for all capacitors but the capacitances \( C_1, C_2, C_3 \) can be different, the charges \( Q_1, Q_2, Q_3 \) will also be different. Thus, this statement is **correct**.

4. **Analyzing Statement (III):**
- **Statement (III):** "Voltage applied is different for each capacitor."
- This statement is **incorrect** because, in a parallel configuration, the voltage across each capacitor is the same, as established in Statement (I).

5. **Analyzing Statement (IV):**
- **Statement (IV):** "For each capacitor, charges are same."
- This statement is also **incorrect** because, as mentioned earlier, the charges on each capacitor depend on their capacitance and the common voltage. If the capacitances are different, the charges will also be different.

### Conclusion
From the analysis:
- **Correct Statements:** (I) and (II)
- **Incorrect Statements:** (III) and (IV)

Thus, the correct answer is that statements (I) and (II) are true.