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

  1. A.N2.50
  2. B.N3.20
  3. C.N6.50
  4. 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:

  1. Convert power to kW: 100 W = 100 ÷ 1000 = 0.1 kW
  1. Calculate the energy used: Energy = 0.1 kW × 5 h = 0.5 kWh
  1. 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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