Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
Contrast a 60 W light bulb with other light bulbs, each linked to a 120 V source for an equivalent duration. Which of the follo...Question
Contrast a 60 W light bulb with other light bulbs, each linked to a 120 V source for an equivalent duration. Which of the following statements are true?
A. The 60 W bulb transforms an equivalent quantity of electrical energy into both heat and light compared to a 100 W bulb.
B. The 60 W bulb converts a smaller amount of electrical energy into both heat and light compared to a 40 W bulb.
C. The 60 W bulb transforms a smaller amount of electrical energy into both heat and light compared to a 100 W bulb.
D. The 60 W bulb transforms an equal quantity of electrical energy into both heat and light when compared to a 40 W bulb.
A. The 60 W bulb transforms an equivalent quantity of electrical energy into both heat and light compared to a 100 W bulb.
B. The 60 W bulb converts a smaller amount of electrical energy into both heat and light compared to a 40 W bulb.
C. The 60 W bulb transforms a smaller amount of electrical energy into both heat and light compared to a 100 W bulb.
D. The 60 W bulb transforms an equal quantity of electrical energy into both heat and light when compared to a 40 W bulb.
Answers
GPT-4o mini
To analyze the statements, we need to understand how the power rating of a light bulb corresponds to the electrical energy it transforms into light and heat.
1. **Power ratings** correspond to how much electrical energy the bulb uses per unit time, measured in watts (W). A 60 W bulb uses 60 joules of electrical energy every second.
2. **Energy consumed** can be calculated over an equivalent duration. For example, in 1 hour, a 60 W bulb uses \(60 \text{ W} \times 3600 \text{ s} = 216000 \text{ J}\) of energy.
Now, let's evaluate each statement:
A. **The 60 W bulb transforms an equivalent quantity of electrical energy into both heat and light compared to a 100 W bulb.**
- **False**. The 60 W bulb uses less electrical energy (216,000 J in an hour) compared to a 100 W bulb (which uses 360,000 J in an hour). Therefore, it does not transform an equivalent amount of energy; the 100 W bulb transforms more energy into both heat and light.
B. **The 60 W bulb converts a smaller amount of electrical energy into both heat and light compared to a 40 W bulb.**
- **False**. The 60 W bulb consumes more power and therefore converts more electrical energy than a 40 W bulb over the same duration. In one hour, a 40 W bulb uses only 144,000 J.
C. **The 60 W bulb transforms a smaller amount of electrical energy into both heat and light compared to a 100 W bulb.**
- **True**. As noted earlier, the 60 W bulb uses less energy in the same timeframe than the 100 W bulb.
D. **The 60 W bulb transforms an equal quantity of electrical energy into both heat and light when compared to a 40 W bulb.**
- **False**. The 60 W bulb consumes more electrical energy than the 40 W bulb. In one hour, the 60 W bulb uses 216,000 J, while the 40 W bulb uses only 144,000 J, meaning they do not transform equal quantities of electrical energy.
Thus, the only true statement is:
**C. The 60 W bulb transforms a smaller amount of electrical energy into both heat and light compared to a 100 W bulb.**
1. **Power ratings** correspond to how much electrical energy the bulb uses per unit time, measured in watts (W). A 60 W bulb uses 60 joules of electrical energy every second.
2. **Energy consumed** can be calculated over an equivalent duration. For example, in 1 hour, a 60 W bulb uses \(60 \text{ W} \times 3600 \text{ s} = 216000 \text{ J}\) of energy.
Now, let's evaluate each statement:
A. **The 60 W bulb transforms an equivalent quantity of electrical energy into both heat and light compared to a 100 W bulb.**
- **False**. The 60 W bulb uses less electrical energy (216,000 J in an hour) compared to a 100 W bulb (which uses 360,000 J in an hour). Therefore, it does not transform an equivalent amount of energy; the 100 W bulb transforms more energy into both heat and light.
B. **The 60 W bulb converts a smaller amount of electrical energy into both heat and light compared to a 40 W bulb.**
- **False**. The 60 W bulb consumes more power and therefore converts more electrical energy than a 40 W bulb over the same duration. In one hour, a 40 W bulb uses only 144,000 J.
C. **The 60 W bulb transforms a smaller amount of electrical energy into both heat and light compared to a 100 W bulb.**
- **True**. As noted earlier, the 60 W bulb uses less energy in the same timeframe than the 100 W bulb.
D. **The 60 W bulb transforms an equal quantity of electrical energy into both heat and light when compared to a 40 W bulb.**
- **False**. The 60 W bulb consumes more electrical energy than the 40 W bulb. In one hour, the 60 W bulb uses 216,000 J, while the 40 W bulb uses only 144,000 J, meaning they do not transform equal quantities of electrical energy.
Thus, the only true statement is:
**C. The 60 W bulb transforms a smaller amount of electrical energy into both heat and light compared to a 100 W bulb.**