1Which of these has the same dimensions as decay constant?
Decay constant and angular frequency both have the dimensions [T⁻¹].
Modern physicsClass 12, Nuclei
Dimensional formula of Decay constant
[T-1]
The chance per unit time that a nucleus decays.
How to get the dimensional formula of decay constant
- Start from the definition: decay constant = 1 / time.
- Put in the dimension of each part: 1 / [T].
- Add the powers of each base quantity: [T-1].
Quantities with the dimensions [T⁻¹]
Equal dimensions do not make them the same quantity. Compare decay constant with the others in the full grid.
Three questions on decay constant
2What is the SI unit of decay constant?
The SI unit of decay constant is the per second (s⁻¹).
3Which one has different dimensions from the others?
Photon momentum is [M L T⁻¹]. The other three are all [T⁻¹].
Decay constant: quick answers
What is the dimensional formula of decay constant?
The dimensional formula of decay constant is [T⁻¹]. It comes from decay constant = 1 / time.
What is the SI unit of decay constant?
The SI unit of decay constant is the per second (s⁻¹).
Which quantities have the same dimensions as decay constant?
Decay constant shares [T⁻¹] with angular velocity, velocity gradient, frequency, angular frequency, activity. Equal dimensions do not make them the same quantity.