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Bi with atomic no. 83 and mass no. 209 is produced from a parent element by the emission of 2alpha,4beta and one positron.what will be the parent element?



So let the parent nucleus be X_{a}^b
it undergoes 2α,4β emissions
in each alpha emission atomic mass decrease by 4 and atomic number decrease by 2
so after 2α emissions the nucleus will be Y_{a-2(2)}^{b-2(4)}=Y_{a-4}^{b-8)}
then 4β emissions so atomic number increases by 4(1 in each)
then it also emits one positron so atomic number decreases by 1
so b-8=209,b=217 a-1=83,a=84
so the parent nucleus is Polonium isotope Po_{84}^{217}
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wlcm...d most...!
It is polonium Z=84 M=217
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