A free neutron beta-decays to a proton with a half-life of 14 minutes.

(a) What is the decay constant?


(b) Find the energy liberated in the process.


a) Given, half-life = 14 minutes = 840 seconds


We know, half life , where λ = decay constant


= 8.25×10-4 s-1


b)


[equation of neutron undergoing β decay]



Energy


Mn = mass of Neutron


Mp = mass of proton


Mβ = mass of β-particle


c2= (Speed of light)2 = 931.5 MeV/u




= 782.83 KeV


1