SATHEE: Modern Physics 3 Question 1

Modern Physics 3 Question 1

1. In a radioactive decay chain, the initial nucleus is $_{90}^{232} T h$ . At the end, there are $6 α$ -particles and $4 β$ -particles which are emitted. If the end nucleus is $_{Z}^{A} X, A$ and $Z$ are given by

(a) $A = 202; Z = 80$

(b) $A = 208; Z = 82$

(d) $A = 208; Z = 80$

(Main 2019, 12 Jan II)

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Solution:

An $α$ -particle decay $(_{2}^{4} H e)$ reduces, mass number by 4 and atomic number by 2 .

$∴$ Decay of $6 α$ -particles results

$_{90}^{232} T h \overset{6 α}{\to}_{90 - 12}^{232 - 24} Y =_{78}^{208} Y$

A $β$ -decay does not produces any change in mass number but it increases atomic number by 1 .

$∴$ Decay of $4 β$ -particles results

$_{78}^{208} Y \overset{4 β}{\to}_{82}^{208} X$

$∴$ In the end nucleus $A = 208, Z = 82$

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Modern Physics 3 Question 1

1. In a radioactive decay chain, the initial nucleus is 90232Th. At the end, there are 6α-particles and 4β-particles which are emitted. If the end nucleus is ZAX,A and Z are given by

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1. In a radioactive decay chain, the initial nucleus is $_{90}^{232} T h$ . At the end, there are $6 α$ -particles and $4 β$ -particles which are emitted. If the end nucleus is $_{Z}^{A} X, A$ and $Z$ are given by