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O Levels Physics (5054)•5054/11/M/J/21
Question 30 from 5054/11/M/J/21

Explanation

Calculate total energy consumption in kWh and multiply by cost per unit

Steps:

  • Total days: 3 weeks × 7 days/week = 21 days.
  • Total hours: 21 days × 5 hours/day = 105 hours.
  • Energy used: 100 W = 0.1 kW; 0.1 kW × 105 hours = 10.5 kWh.
  • Total cost: 10.5 kWh × 0.24/kWh=0.24/kWh = 0.24/kWh=2.52.

Why C is correct:

  • Energy cost formula: total kWh = power (kW) × time (h), then cost = kWh × rate per kWh, yielding exactly $2.52.

Why the others are wrong:

  • A: Underestimates time, perhaps only 5 hours total (0.1 kW × 5 h × 0.24=0.24 = 0.24=0.12, but doubled incorrectly).
  • B: Uses 1 week only (0.1 kW × 35 h × 0.24=0.24 = 0.24=0.84).
  • D: Assumes 20 days (0.1 kW × 100 h × 0.24=0.24 = 0.24=2.40, close but wrong).

Final answer: C

Topic: Uses of electricity

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