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Which is approximately equal to 3 kW h? A 3 × 10³ J B 1 × 10⁴ J C 2 × 10⁵ J D 1 × 10³ J - AQA - A-Level Physics - Question 7 - 2021 - Paper 1

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Which is approximately equal to 3 kW h? A 3 × 10³ J B 1 × 10⁴ J C 2 × 10⁵ J D 1 × 10³ J

Worked Solution & Example Answer:Which is approximately equal to 3 kW h? A 3 × 10³ J B 1 × 10⁴ J C 2 × 10⁵ J D 1 × 10³ J - AQA - A-Level Physics - Question 7 - 2021 - Paper 1

Step 1

Convert 3 kW h to Joules

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Answer

To convert kilowatt-hours to joules, use the formula:

1extkWh=3.6imes106extJ1 ext{ kWh} = 3.6 imes 10^6 ext{ J}

Thus,

3extkWh=3imes3.6imes106extJ=10.8imes106extJ=1.08imes107extJ3 ext{ kWh} = 3 imes 3.6 imes 10^6 ext{ J} = 10.8 imes 10^6 ext{ J} = 1.08 imes 10^7 ext{ J}

Step 2

Identify the closest option

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Answer

Now, comparing with the given options:

  • A: 3imes103extJ3 imes 10^3 ext{ J}
  • B: 1imes104extJ1 imes 10^4 ext{ J}
  • C: 2imes105extJ2 imes 10^5 ext{ J}
  • D: 1imes103extJ1 imes 10^3 ext{ J}

The correct approximation to our calculated value of 1.08imes107extJ1.08 imes 10^7 ext{ J} is option B, which is 1imes104extJ1 imes 10^4 ext{ J}.

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