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Find the dimensional formula of the universal constant of gravitation G

Find the dimensional formula of the universal constant of gravitation G

Grade:12

1 Answers

Apoorva Arora IIT Roorkee
askIITians Faculty 181 Points
7 years ago
Universal Constant of Gravitation is represented by G and is derived from Newton’s law of gravitation. Newton’s law states that
F=(Gm1m2)/r2
So
G=(Fr2)/m1m2
Where F is Force between masses m1, m2at a distance r
Dimensional Formula of Force= M1L1T-2
Thus
Dimensional Formula of Universal Constant of Gravitation= (M1L1T-2x L2)/(M1x M1)
Dimensional Formula of Universal Constant of Gravitation= M-1L3T-2
Thanks and Regards
Apoorva Arora
IIT Roorkee
askIITians Faculty

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