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Question

Question: A radioactive nucleus undergoes a series of decays according to the scheme \[A\overset{\quad\alpha\...

A radioactive nucleus undergoes a series of decays according to the scheme

AαA1βA2αA3γA4A\overset{\quad\alpha\quad}{\rightarrow}A_{1}\overset{\quad\beta\quad}{\rightarrow}A_{2}\overset{\quad\alpha\quad}{\rightarrow}A_{3}\overset{\quad\gamma\quad}{\rightarrow}A_{4}

If the mass number and atomic number of A are 180 and 72 respectively, then what are these numbers for A4-

A

172 and 69

B

174 and 70

C

176 and 69

D

176 and 70

Answer

172 and 69

Explanation

Solution

A = 180 – 2 × 4 = 172

Z = 72 – 2 + 1 – 2 + 0 = 69