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O Levels Physics (5054)•5054/12/M/J/23
Question 31 from 5054/12/M/J/23

Explanation

Calculate energy cost using power, time, and rate

Steps:

  • Convert time to hours: 10 minutes = 10/60 = 1/6 ≈ 0.167 hours.
  • Calculate energy: Power = 1500 W = 1.5 kW; energy = 1.5 kW × 0.167 h = 0.25 kWh.
  • Compute cost: 0.25 kWh × 24 cents/kWh = 6 cents.

Why A is correct:

  • Energy in kWh = power in kW × time in hours; cost = energy × rate per kWh yields 6 cents.

Why the others are wrong:

  • B: Uses 1 hour instead of 10 minutes (1.5 kW × 1 h × 24 cents/kWh = 36 cents).
  • C: Miscalculates energy as 2.5 kWh, perhaps doubling time or power error (2.5 × 24 = 60 cents).
  • D: Assumes 10 hours usage (1.5 kW × 10 h × 24 cents/kWh = 360 cents).

Final answer: A

Topic: Power

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