COMEDK2024Evening ShiftPhysicsUnits and DimensionsActual
The dimension [ ML ⁻¹ ~T ⁻²] is the physical quantity of
Options
- AEnergy density
- BPressure Area
- CPower Time
- DForce Pressure
Correct answer
A. Energy density
Step-by-step solution
The given dimension is [M L⁻¹ T⁻²] . Pressure is defined as Force Area = [M L T⁻²] [L^2] = [M L⁻¹ T⁻²] . Energy density is defined as Energy Volume = [M L^2 T⁻²] [L^3] = [M L⁻¹ T⁻²] . Since both Pressure and Energy density have the dimension [M L⁻¹ T⁻²] , we evaluate the options provided. Option (1) Energy density has the dimension [M L⁻¹ T⁻²] . Option (2) Pressure Area is Force, which has dimension [M L T⁻²] . Option (3) Power Time is Energy, which has dimension [M L^2 T⁻²] . Option (4) Force Pressure is Area, whi