NEET2023PhysicsUnits and DimensionsActual
The mechanical quantity, which has dimensions of reciprocal of mass ( M ⁻¹ ) is
Options
- ATorque
- BGravitational constant
- CAngular momentum
- DCoefficient of thermal conductivity
Correct answer
B. Gravitational constant
Step-by-step solution
We know that, F= G M₁ M₂ r^2 aligned & [G]= [F] [r^2 ] [M₁ ] [M₂ ] = [ MLT ⁻² ] [ L ^2 ] [ M ][ M ] & [G]= [ M ⁻¹ ~L ^3 ~T ⁻² ] aligned i.e., gravitational constant is mechanical quantity which has dimensions of reciprocal of mass ( M ⁻¹ )