Energy per unit volume is dimensionally equal to A. Pressure B. Force C. Density D. Work

Pressure
Force
Density
Work

The correct answer is: Energy per unit volume is dimensionally equal to D. Work.

Energy per unit volume is dimensionally equal to work because both have the same units, which are joules per cubic meter (J/m3). Work is the transfer of energy from one object to another, and it can be done by applying a force over a distance. Energy per unit volume is the amount of energy that is contained in a given volume of space. It can be calculated by multiplying the energy density by the volume.

The other options are incorrect because they do not have the same units as energy per unit volume. Pressure is force per unit area, and force is mass times acceleration. Density is mass per unit volume, and work is force times distance.

Here is a table showing the units of each quantity:

| Quantity | Units |
|—|—|
| Energy | Joule (J) |
| Force | Newton (N) |
| Density | Kilogram per cubic meter (kg/m3) |
| Pressure | Pascal (Pa) |
| Work | Joule (J) |

As you can see, only work has the same units as energy per unit volume, which is joules per cubic meter (J/m3).