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.