NECO 2000 Physics · Question 22

An electric iron rated 250 V has a coil of resistance 125Ω. What is the cost of using it for I hour at 10k per kWh?

Options

  1. A.1.25k
  2. B.2.50k
  3. C.5.00k
  4. D.10.00k
  5. E.20.00k

Answer: C. 5.00k

Explanation written with AI and checked against the answer key

Analyze the question: We need the electrical energy used by the iron in 1 hour, then multiply by the cost per kWh.

Concept:

  • Power: P = V²/R
  • Energy (kWh) = Power (kW) × time (h)
  • Cost = Energy × rate

Solution:

  1. Power of the iron: P = V²/R = (250)² / 125 = 62,500 / 125 = 500 W = 0.5 kW
  1. Energy used in 1 hour: E = 0.5 kW × 1 h = 0.5 kWh
  1. Cost at 10k per kWh: Cost = 0.5 × 10k = 5.00k

Tip: When you see a voltage and a resistance, go straight to P = V²/R. Then convert watts to kilowatts (divide by 1000) before multiplying by the time in hours and the rate. Most mistakes in these questions come from forgetting that conversion.

AI can make mistakes. Report anything that looks wrong.

Past questions © the examination body (JAMB/WAEC/NECO). DeeepSolve is not affiliated with them. Rights holders: see /copyright.