1Which of these has the same dimensions as Half-life?
Half-life and time constant both have the dimensions [T].
Modern physicsClass 12, Nuclei
Dimensional formula of Half-life
[T]
The time for half of the nuclei to decay. It has the dimension of time.
How to get the dimensional formula of Half-life
- Start from the definition: Half-life = time.
- Put in the dimension of each part: [T].
- Add the powers of each base quantity: [T].
Quantities with the dimensions [T]
Equal dimensions do not make them the same quantity. Compare Half-life with the others in the full grid.
Three questions on Half-life
2What is the SI unit of Half-life?
The SI unit of Half-life is the second (s).
3Which one has different dimensions from the others?
Decay constant is [T⁻¹]. The other three are all [T].
Half-life: quick answers
What is the dimensional formula of Half-life?
The dimensional formula of Half-life is [T]. It comes from Half-life = time.
What is the SI unit of Half-life?
The SI unit of Half-life is the second (s).
Which quantities have the same dimensions as Half-life?
Half-life shares [T] with time, time period, time constant. Equal dimensions do not make them the same quantity.