JEE Main20245 Apr 2024Morning ShiftPhysicsUnits and DimensionsActual
If G be the gravitational constant and u be the energy density then which of the following quantity have the dimensions as that of the uG :
Options
- Apressure gradient per unit mass
- BGravitational potential
- CEnergy per unit mass
- DForce per unit mass
Correct answer
D. Force per unit mass
Step-by-step solution
aligned & [ uG ]= [ ( M ^1 ~L ⁻¹ ~T ⁻² ) ( M ⁻¹ ~L ^3 ~T ⁻² ) ] & [ uG ]= [ M ^0 ~L ^2 ~T ⁻⁴ ] & [ uG ]= [ L ^1 ~T ⁻² ] aligned