NEET2004PhysicsUnits and DimensionsActual
The dimensions of universal gravitational constant are:
Options
- A[ M ⁻¹ ~L ^3 ~T ⁻² ]
- B[ ML ^2 ~T ⁻¹ ]
- C[ ML ⁻² ~L ^3 ~T ⁻² ]
- D[ ML ⁻² ~L ^2 ~T ⁻¹ ]
Correct answer
A. [ M ⁻¹ ~L ^3 ~T ⁻² ]
Step-by-step solution
aligned F & = GMm R^2 G = F R^2 M m & = [ MLT ⁻² ] [ L ^2 ] [ M ^2 ] & = [ M ⁻¹ ~L ^3 ~T ⁻² ] aligned