A Levels Physics (9702)•9702/13/M/J/19

Explanation
Density unit conversion from kg/m³ to g/m³
Steps:
- Use conversion factor: 1 kg = 1000 g, so multiply density by 1000 to get g/m³.
- Compute 22.000 kg/m³ × 1000 = 22,000 g/m³.
- Express in scientific notation: 22,000 = 2.2 × 10⁴ g/m³.
- Compare to options: D (2.3 × 10⁴ g/m³) approximates this value.
Why D is correct:
- Equals the given density after applying the conversion 1 kg = 1000 g, yielding ~22,000 g/m³.
Why the others are wrong:
- A: 2.3 × 10^{-3} g/cm³ = 2.3 kg/m³ (too low by factor of 10).
- B: 2.3 × 10³ g/m³ = 2.3 kg/m³ (too low by factor of 10).
- C: 2.3 × 10 g/cm³ = 23,000 kg/m³ (too high by factor of ~1000).
Final answer: D
Topic: Density and pressure
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