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A polonium nucleus transforms into one o...

A polonium nucleus transforms into one of lead. Find the kinetic energy of the alpha-particle and of the recoil nucleus.

Text Solution

Verified by Experts

The correct Answer is:
`K_(alpha)=4.45MeV;K_(Pb)=1.05MeV`.

The transition energy is equal to the difference between the energy of the original nucleus and the rest energy of the reaction products:
`epsi=[209.93297-(4.00260+205.97446)]xx931.5=5.5MeV`
This energy is equal to the sum of kinetic energies of the alpha-particle and the recoil nucleus : `epsi=K_(alpha)+K_(Ph)andK_(alpha)//K_(Ph)=M_(Ph)//M_(alpha)`.
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