NDA2022General AbilityGeneral ScienceActual
What is the dimension of gravitational constant?
Options
- AML ^3 ~T ⁻²
- BM ⁻¹ ~L ^3 ~T ⁻²
- CM ^2 ~L ⁻² ~T ⁻²
- DM ^2 ~L ⁻¹ ~T ⁻²
Correct answer
B. M ⁻¹ ~L ^3 ~T ⁻²
Step-by-step solution
F=G m₁ m₂ r^2 aligned & [ F ]= [ G ] [ m ₁ ~m ₂ ] [ t ^2 ] & [ G ]= [ F ] [ r ^2 ] [ m ₁ ] [ m ₂ ] = MLT ⁻² ~L ^2 M ^2 aligned = M ⁻¹ ~L ^3 ~T ⁻²