KCET2008PhysicsUnits and Dimensions
Dimensional formula for the universal gravitational constant is
Options
- A[ M ⁻¹ ~L ² ~T ⁻² ]
- B[ M ⁰ ~L ⁰ ~T ⁰ ]
- C[ M ⁻¹ ~L ³ ~T ⁻² ]
- D[ M ⁻¹ ~L ³ ~T ⁻¹ ]
Correct answer
C. [ M ⁻¹ ~L ³ ~T ⁻² ]
Step-by-step solution
aligned & F = GM ₁ M ₂ R ² & G = FR ² M ₁ M ₂ & [ G ]= [ MLT ⁻² ] [ L ² ] [ M ² ] = [ M ⁻¹ ~L ³ ~T ⁻² ] aligned