Nuclear Physics And Radioactivity Question 273

Question: A radioactive nucleus undergoes a series of decay according to the scheme $ A\xrightarrow{\alpha }A_{1}\xrightarrow{\beta }A_{2}\xrightarrow{\alpha }A_{3}\xrightarrow{\gamma }A_{4} $ If the mass number and atomic number of A are 180 and 72 respectively, then what are these number for A4 [Roorkee 1986; MP PET 2002; KCET 2003; DPMT 2005]

Options:

A) 172 and 69

B) 174 and 70

C) 176 and 69

D) 176 and 70

Show Answer

Answer:

Correct Answer: A

Solution:

$ _{72}A^{180} $

$\xrightarrow{\alpha_{70}} A_1^{176}$

$\xrightarrow{\beta_{71}} A_{2}^{176}$

$\xrightarrow{\alpha_{69}}A_{3}^{172} $

$ \xrightarrow{\gamma_{69}}A_{4}^{172} $