Which of the following statements are correct?

Options

A. If bulbs of different wattages are joined in parallel, then the lowest wattage bulb glows with the maximum brightness.
B. If bulbs of different wattages are joined in parallel, then the highest wattage bulb glows with the maximum brightness.
C. If bulbs of different wattages are joined in series, then the lowest wattage bulb glows with maximum brightness.
D. If bulbs of different wattages are joined in series, then the highest wattage bulb glows with the maximum brightness.

Explanation

To determine which statements are correct regarding bulbs of different wattages connected in parallel and series, we can analyze the behavior of the bulbs based on their power ratings and the principles of electricity.

### Step-by-Step Solution:

1. **Understanding Bulbs in Parallel:**
- When bulbs are connected in parallel, they have the same voltage across them.
- The power (P) of a bulb can be expressed as \( P = \frac{V^2}{R} \), where V is the voltage and R is the resistance.
- Since the voltage is constant for both bulbs, the power is inversely proportional to the resistance. Therefore, a bulb with higher power has lower resistance.

2. **Analyzing Statement A:**
- The statement claims that the lowest wattage bulb glows with maximum brightness.
- Since the bulb with the highest wattage (let's say P1) has the lowest resistance (R1), it will draw more current and thus glow brighter than the lower wattage bulb (P2).
- Therefore, **Statement A is incorrect.** The highest wattage bulb glows with maximum brightness.

3. **Understanding Bulbs in Series:**
- When bulbs are connected in series, the same current flows through both bulbs.
- The power consumed by each bulb can be expressed as \( P = I^2 R \), where I is the current.
- In this case, the bulb with the higher resistance (which corresponds to the lower wattage) will dissipate more power.

4. **Analyzing Statement C:**
- The statement claims that if bulbs of different wattage are joined in series, the lowest wattage bulb glows with maximum brightness.
- Since the lowest wattage bulb has the highest resistance, it will indeed glow brighter than the higher wattage bulb.
- Therefore, **Statement C is correct.**

5. **Analyzing Statement D:**
- This statement claims that if bulbs of different wattage are joined in series, the highest wattage bulb glows with maximum brightness.
- As established, since the highest wattage bulb has the lowest resistance, it will not glow brighter than the lowest wattage bulb.
- Therefore, **Statement D is incorrect.**

### Conclusion:
- **Correct Statements:** B and C
- **Incorrect Statements:** A and D