Of the bulbs in a house, one glows brighter than the other, which of the two has a large resistance.

Options

A. The bright bulb
B. The dim bulb
C. Both have the same resistance
D. The brightness does not depend upon the resistance .

Answer

To determine which bulb has a larger resistance based on their brightness, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship Between Voltage, Current, and Resistance**:
- According to Ohm's Law, the relationship between voltage (V), current (I), and resistance (R) is given by the formula:
\[ V = I \times R \]
- Rearranging this gives us:
\[ R = \frac{V}{I} \]

2. **Recognize the Configuration of the Bulbs**:
- In a typical household wiring, electrical appliances (including bulbs) are connected in parallel. This means that the voltage across each bulb is the same.

3. **Establish the Relationship Between Resistance and Current**:
- Since the voltage across both bulbs is the same, we can express the resistance of each bulb in terms of current:
\[ R \propto \frac{1}{I} \]
- This indicates that resistance is inversely proportional to current.

4. **Analyze the Brightness of the Bulbs**:
- The brightness of a bulb is directly proportional to the current flowing through it. Therefore, if one bulb glows brighter than the other, it means that the brighter bulb has a larger current flowing through it compared to the dimmer bulb.

5. **Conclude Which Bulb Has Larger Resistance**:
- Since the brighter bulb has a larger current, and resistance is inversely proportional to current, it follows that:
- The bulb that glows brighter has **less resistance**.
- Conversely, the bulb that glows dimmer has **larger resistance**.

6. **Final Answer**:
- Therefore, the bulb that glows dimmer has a larger resistance.