Homework Question – Beta and Alpha decay

Hi, i am new here. Thought it would be good to sign up as i have just started hitting the books in preparation for my AS Level exams. So this is my first question.

I think i may have done this question correctly, but i was just seeing what other people think as i am not 100% sure about it.


A nucleus of the radioactive isotope of bismuth Bi (213) and (83) emits a beta particle, then an alpha particle, then another beta particle before it becomes stable.

a) Show that the stable nucleus formed is a Bismuth isotope

My Attempt at it

Bi (213) (83) → Bi (213) (84) I have added one to the proton number, because in beta decay, a neutron turns into a proton, so the nucleon number remains the same, but the proton number goes up by 1.

Then for Alpha, it becomes Bi (209) (82). I have taken 4 from the nucleon number and 2 from the proton number because an alpha particle consists of 2 protons and 2 neutrons.

Then after the second beta decay i ended up with Bi (209) (83).

Is this correct?

Thanks for your help.


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