Dimensional formula of half-life

Half-life
[T]
Written in full: [M⁰ L⁰ T¹ A⁰ K⁰]

How to derive it

Half-life = 0.693 ÷ Decay constant

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

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

SI unit

The SI unit of half-life is second (s).

Same dimensions as half-life

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

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More from Modern physics

QuantityFormula
Planck's constant[M L2 T−1]
Specific charge[M−1 T A]
Work function[M L2 T−2]
Rydberg constant[L−1]
Decay constant[T−1]
Activity[T−1]