Dimensional Analysis
If Force (F), Velocity (V), and Time (T) are taken as fundamental units, then the dimensions of Mass are:
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About This Question
- Subject
- physics
- Chapter
- units and dimensions
- Topic
- dimensional analysis
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
[FV−1T]
- Basic Relation: F=m×a, where a is acceleration.
- Acceleration in terms of V and T: a=ΔtΔv⟹[a]=[V][T]−1.
- Rearrange for Mass: M=aF⟹[M]=[F]/[V][T]−1.
- Final Expression: [M]=[FV−1T1].
This easy difficulty physics question is from the chapter units and dimensions, covering the topic of dimensional analysis. It appeared in the 2025 exam.
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