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Question

92U235 undergoes successive disintegrations with the end product of 82Pb203. The number of α and β particles emitted are

A
α=6, β=4
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B
α=6, β=0
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C
α=8, β=6
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D
α=3, β=3
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Solution

The correct option is C α=8, β=6
During 1α decay, mass number and atomic number of parent nucleus decrease by 4 and 2, respectively.
During 1β decay, atomic number of parent nucleus increases by 1 whereas mass number remains the same.
Hence number of alpha particles emitted nα=2352034=8
Due to α decay, atomic number of new element so formed Znew=922(8)=76
Thus number of β particles emitted nβ=82761=6
Thus the nuclear reaction : 92U23582Pb203+8α+6β

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