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Question: An atomic nucleus \(90Th^{232}\) emits several α and β radiations and finally reduces to\(82Pb^{208}...

An atomic nucleus 90Th23290Th^{232} emits several α and β radiations and finally reduces to82Pb20882Pb^{208}. It must have emitted.

A

4α and 2β

B

6α and 4β

C

8α and 24β

D

4α and 16β

Answer

6α and 4β

Explanation

Solution

nα=AA4=2322084=6n_{\alpha} = \frac{A - A'}{4} = \frac{232 - 208}{4} = 6

nβ=2nαZ+Z=2×690+82=4n_{\beta} = 2n_{\alpha} - Z + Z' = 2 \times 6 - 90 + 82 = 4