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Question: \({}_{90}^{232}Th\) an isotope of thorium decays in ten stages emitting six α-particles and four β-p...

90232Th{}_{90}^{232}Th an isotope of thorium decays in ten stages emitting six α-particles and four β-particles in all. The end product of the decay is.

A

82206Pb{}_{82}^{206}Pb

B

82209Pb{}_{82}^{209}Pb

C

82208Pb{}_{82}^{208}Pb

D

83209Br{}_{83}^{209}Br

Answer

82208Pb{}_{82}^{208}Pb

Explanation

Solution

New mass number A=A4nα=2324×6=208A^{'} = A - 4n_{\alpha} = 232 - 4 \times 6 = 208

atomic numberZ=Z+nβ2nα=90+42×6=82Z^{'} = Z + n_{\beta} - 2n_{\alpha} = 90 + 4 - 2 \times 6 = 82.