A Levels Physics (9702)•9702/12/M/J/18

Explanation
Energy used proportional to distance, time from power input
Steps:
- Full range uses 200 MJ for 150 km, so energy per km = 200 / 150 = 4/3 MJ/km.
- Distance driven = 100 km, so energy used = 100 × (4/3) = 400/3 MJ ≈ 133.3 MJ.
- Charging power = 230 V × 13 A = 2990 W = 2.99 kJ/s.
- Time = (400/3 × 10^6 J) / 2990 s ≈ 44,615 s ≈ 12.4 hours.
Why B is correct:
- Time equals energy depleted divided by charging power (P = VI, t = E/P).
Why the others are wrong:
- A: Underestimates by assuming full recharge or wrong power.
- C: Overestimates by using full 200 MJ instead of 133.3 MJ.
- D: Overestimates further, possibly ignoring efficiency or miscalculating power.
Final answer: B
Topic: Potential difference and power
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