1 kWh is equivalent to :
3·6 × 106 J
The kilowatt hour is the commercial unit of electrical energy: it is the energy used when a power of 1 kilowatt is consumed for 1 hour. Energy = power × time.
Step 1 — \(1\ \text{kW} = 1000\ \text{W},\quad 1\ \text{h} = 3600\ \text{s}\)
Step 2 — \(1\ \text{kWh} = 1000\ \text{W} \times 3600\ \text{s} = 3600000\ \text{J}\)
Step 3 — \(3600000\ \text{J} = 3.6 \times 10^{6}\ \text{J}\)
The other powers of ten are off by a factor of 10 or more: 105 is too small, while 107 and 108 are too large. Since the exact value is listed, “None of the above” is not correct.
3·6 × 106 J option is correct.
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