Dimensional formula of planck's constant

How to derive it

Planck's constant = Energy ÷ Frequency, from E = hν

Put in the dimensions of each part: [ML²T⁻²] ÷ [T⁻¹] = [M L² T⁻¹].

mass (M)

1

length (L)

2

time (T)

-1

current (A)

0

temperature (K)

0

SI unit

The SI unit of planck's constant is J·s.

Same dimensions as planck's constant

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

• Angular momentum