Units and Dimensions · UPSC CDS/OTA · Question 4 of 30

Units and Dimensions – Question 4

Step-by-step solution. Units and Dimensions for UPSC CDS/OTA.

Topic
Units and Dimensions
Subject
General Studies
Difficulty
Medium
Solve Time
45–60 sec

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Q · Units and DimensionsMedium · 45s

Statement: If the length is measured in km instead of meters, then the unit of energy in terms of SI units would:

TopicUnits and Dimensions
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min

Step-by-Step Solution

The complete worked solution.

Every step explained — no skipped algebra.

Energy = Force × Distance. Force in N remains the same, but if distance is in km, then the unit will be 1000 m ⇒ Energy unit becomes 1000× larger for each meter ⇒ 1000³.

Final Answer: Option C — Become 10⁶ times
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Units and Dimensions Question 4 – UPSC CDS/OTA