Unit Conversion
One astronomical unit (AU) is approximately 1.496 × 10⁸ km. If the distance from Earth to a star is 4.22 light years, what is this distance in astronomical units? (1 light year = 9.46 × 10¹² km)
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About This Question
- Subject
- physics
- Chapter
- units and measurements
- Topic
- unit conversion
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
2.67 × 10⁵ AU
- Calculate Distance in km:
- D=4.22 LY×9.46×1012 km/LY≈39.921×1012 km.
- Convert to AU:
- DAU=Value of 1 AU in kmTotal distance in km.
- DAU=1.496×10839.921×1012.
- Calculation:
- DAU=26.685×104=2.6685×105 AU.
- Final Value: Rounding to appropriate significance gives 2.67×105 AU.
This medium difficulty physics question is from the chapter units and measurements, covering the topic of unit conversion. It appeared in the 2025 exam.
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