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The question asks which statements are correct when resistors are connected in parallel to a 9V dry cell. Let's analyze the options one by one:

1. **Voltage drop on each resistor is the same** – This is **correct**. In a parallel circuit, the voltage across all resistors is the same as the source voltage (9V in this case).

2. **The number of connected resistors is directly proportional to the total current in the circuit** – This is **correct**. In a parallel circuit, as you add more resistors, the overall resistance decreases, leading to an increase in the total current drawn from the battery.

3. **Equivalent resistance of the circuit is equal to the algebraic sum of all resistances** – This is **incorrect**. In a parallel circuit, the equivalent resistance is found by the reciprocal formula:  
   \[ \frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} + \cdots \]

4. **9V dry cell will explode** – This is **incorrect**. A 9V dry cell will not explode in a normal parallel circuit configuration unless the current draw exceeds its capacity drastically.

5. **Charges on resistors are also equal** – This is **incorrect**. The charge distribution does not behave like this in parallel circuits; it's the current through each branch that varies depending on the resistance.

6. **Polarity of the battery will affect the current in the circuit** – This is **incorrect**. The polarity of the battery would only affect the direction of the current, not the amount of current flowing, assuming we are using standard passive components like resistors.

### Correct statements: 
- Voltage drop on each resistor is the same.
- The number of connected resistors is directly proportional to the total current in the circuit.

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### Related Questions:
1. How is total current calculated in a parallel circuit?
2. How does adding more resistors in parallel affect the total resistance?
3. What is the formula for calculating equivalent resistance in a parallel circuit?
4. Why does voltage remain the same across each resistor in parallel?
5. How does a dry cell behave under different circuit loads?

**Tip:** In parallel circuits, always remember that voltage remains constant across each branch, while the total current is the sum of the individual branch currents.

When resistors are connected in parallel to a 9V dry cell, which statements are correct?

Understand the principles of resistors in parallel connected to a 9V dry cell. This problem explores Ohm's Law, voltage drop across resistors, and equivalent resistance calculation. Suitable for high school students, this detailed explanation covers key points of parallel circuits.

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