Find the dimension of gravitational constant …
CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Posted by Mayank Vekariya 4 years, 8 months ago
- 2 answers
Gaurav Seth 4 years, 8 months ago
The dimensional formula of gravitational constant is given by,
M-1 L3 T-2
Where,
- M = Mass
- L = Length
- T = Time
Derivation
From Newton’s law of gravitation,
Force (F) = [GmM] × r-2
Gravitational Constant (G) = F × r2 × [Mm]-1 . . . . (1)
Since, Force (F) = Mass × Acceleration = M × [LT-2]
∴ The dimensional formula of force = M1 L1 T-2 . . . . (2)
On substituting equation (2) in equation (1) we get,
Gravitational Constant (G) = F × r2 × [Mm]-1
Or, G = [M1 L1 T-2] × [L]2 × [M]-2 = [M-1 L3 T-2].
Therefore, the gravitational constant is dimensionally represented as M-1 L3 T-2.
Related Questions
Posted by M D 9 months ago
- 1 answers
Posted by Mohammed Javith 9 months, 2 weeks ago
- 0 answers
Posted by Mansi Class 9Th 9 months, 1 week ago
- 0 answers
Posted by Pankaj Tripathi 9 months, 1 week ago
- 1 answers
Posted by Nekita Baraily 9 months ago
- 2 answers
myCBSEguide
Trusted by 1 Crore+ Students
Test Generator
Create papers online. It's FREE.
CUET Mock Tests
75,000+ questions to practice only on myCBSEguide app
Vanshika Kumari 4 years, 8 months ago
1Thank You