JIPMER2004PhysicsUnits and Dimensions
The dimensions of gravitational constant are
Options
- A[ ML ^3 ~T ⁻² ]
- B[ M ⁻¹ ~L ^2 ~T ⁻² ]
- C[ ML ⁻² ~T ^2 ]
- D[ M ⁻¹ ~L ^3 ~T ⁻² ]
Correct answer
D. [ M ⁻¹ ~L ^3 ~T ⁻² ]
Step-by-step solution
From the formula G= F R^2 m₁ m₂ aligned & G= Dimensions of dimensions of force F dimension of (R)^2 dimensions of mass M dimension of mass M aligned = [ MLT ⁻² ] [ L ^2 ] [ M ][ M ] = [ M ⁻¹ ~L ^3 ~T ⁻² ]