Dimensional Analysis
Which combination has dimensions of pressure?
Select the correct option:
Solution
All of these
Standard dimensions for Pressure: [ML−1T−2].
- Force/Area: [MLT−2]/[L2]=[ML−1T−2]. (Correct)
- Energy/Volume: [ML2T−2]/[L3]=[ML−1T−2]. (Correct)
- Momentum/(Area·Time): [MLT−1]/([L2]⋅[T])=[MLT−1]/[L2T]=[ML−1T−2]. (Correct) All three physical interpretations lead to the same dimensions.
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About This Question
- Subject
- physics
- Chapter
- physics and measurement
- Topic
- dimensional analysis
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
All of these
Standard dimensions for Pressure: [ML−1T−2].
- Force/Area: [MLT−2]/[L2]=[ML−1T−2]. (Correct)
- Energy/Volume: [ML2T−2]/[L3]=[ML−1T−2]. (Correct)
- Momentum/(Area·Time): [MLT−1]/([L2]⋅[T])=[MLT−1]/[L2T]=[ML−1T−2]. (Correct) All three physical interpretations lead to the same dimensions.
This medium difficulty physics question is from the chapter physics and measurement, covering the topic of dimensional analysis. It appeared in the 2025 exam.
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