Dimensional Formula (gravitational Constant)
Mediumphysics
Dimensions of universal gravitational constant G?
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Solution
Incorrect! Answer:
- Formula: Newton’s law of universal gravitation is F=Gr2m1m2.
- Isolate G: G=m1m2Fr2.
- Dimensions:
- F (Force) =[MLT−2]
- r2 (Distance squared) =[L2]
- m1m2 (Mass product) =[M2]
- Combine terms:
- [G]=[M2][MLT−2][L2]
- [G]=[M1−2L1+2T−2]=[M−1L3T−2].
- Result: The dimensional formula is [M−1L3T−2].
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About This Question
- Subject
- physics
- Chapter
- physics and measurement
- Topic
- dimensional formula (gravitational constant)
- Difficulty
- Medium
- Year
- 2025
Solution
- Formula: Newton’s law of universal gravitation is F=Gr2m1m2.
- Isolate G: G=m1m2Fr2.
- Dimensions:
- F (Force) =[MLT−2]
- r2 (Distance squared) =[L2]
- m1m2 (Mass product) =[M2]
- Combine terms:
- [G]=[M2][MLT−2][L2]
- [G]=[M1−2L1+2T−2]=[M−1L3T−2].
- Result: The dimensional formula is [M−1L3T−2].
This medium difficulty physics question is from the chapter physics and measurement, covering the topic of dimensional formula (gravitational constant). It appeared in the 2025 exam.
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