Dimensional formula of work function

Work function
[M L2 T−2]
Written in full: [M¹ L² T⁻² A⁰ K⁰]

How to derive it

Work function = Least energy needed to free an electron

Put in the dimensions of each part: [ML²T⁻²] = [M L² T⁻²].

mass (M)
1
length (L)
2
time (T)
-2
current (A)
0
temperature (K)
0

SI unit

The SI unit of work function is joule (J), often in eV.

Same dimensions as work function

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

Can you get today's formula in one try?Play MLT, the free daily dimensional formula game

More from Modern physics

QuantityFormula
Planck's constant[M L2 T−1]
Specific charge[M−1 T A]
Rydberg constant[L−1]
Decay constant[T−1]
Activity[T−1]
Half-life[T]