Dimensional Analysis Quiz 1 | Physics

Part A

See if you can determine the dimensions of the following quantities:

volume
acceleration (velocity/time)
density (mass/volume)
force (mass × acceleration)
charge (current × time)

Check your answers

$L^3$
$L/T^2$
$M/L^3$
$M\cdot L/T^2$
$I\cdot T$

Part B

Now find the dimensions of these:

pressure (force/area)
(volume)²
electric field (force/charge)
work (in 1-D, force × distance)
energy (e.g., gravitational potential energy = mgh = mass × gravitational acceleration × height)
square root of area

Check your answers

$M\cdot L^{-1}\cdot T^{-2}$
$L^6$
$M\cdot L\cdot I^{-1}\cdot T^{-3}$
$M\cdot L^2/T^2$
$M\cdot L^2/T^2$
$L$

NOTE: Dimensions of work = Dimensions of energy