WAEC 2017 Physics · Question 27
A lamp rated 100W, 240V is lit for 5hours. Calculate the cost of lighting the lamp if 1kWh of electrical energy cost N5.
Options
- A.N2.50
- B.N3.20
- C.N6.50
- D.N9.60
Answer: A. N2.50
Explanation written with AI and checked against the answer key
Analyze the question: A 100 W lamp runs for 5 hours. Electrical energy costs N5 per kWh. We need the total cost.
Concept: Electrical energy used = Power × Time. For billing, energy is measured in kilowatt-hours (kWh):
Energy (kWh) = Power (kW) × Time (hours)
Cost = Energy (kWh) × Price per kWh
The 240 V rating tells us the voltage the lamp is designed for. It is not needed here because the power rating is already given.
Solution:
- Convert power to kW: 100 W = 100 ÷ 1000 = 0.1 kW
- Calculate the energy used: Energy = 0.1 kW × 5 h = 0.5 kWh
- Calculate the cost: Cost = 0.5 × N5 = N2.50
Answer: The cost is N2.50, which is option A.
Tip: In "cost of electricity" questions, follow this routine: Power (kW) × Hours = kWh, then kWh × Price = Cost. Watch out for distractors like the 240 V here. If the power is already given in watts, you don't need the voltage. Also, always convert W to kW before multiplying, since forgetting this is the most common mistake.
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