Dimensional Formula
Which of the following physical quantities does NOT have the dimensional formula [M⁰L⁰T⁻¹]?
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About This Question
- Subject
- physics
- Chapter
- units and measurements
- Topic
- dimensional formula
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Angular acceleration
- Frequency (f): Defined as number of cycles per unit time. [f]=[T−1].
- Velocity Gradient: Rate of change of velocity with distance (dv/dx).
- Dimensions: [L][LT−1]=[T−1].
- Angular Velocity (ω): Angle (dimensionless) swept per unit time.
- Dimensions: [T]1=[T−1].
- Angular Acceleration (α): Rate of change of angular velocity (dω/dt).
- Dimensions: [T][T−1]=[T−2].
- Conclusion: Only Angular Acceleration has different dimensions ([M0L0T−2]).
This easy difficulty physics question is from the chapter units and measurements, covering the topic of dimensional formula. It appeared in the 2025 exam.
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