A radioactive nucleus <math> <msubsup> <mrow> <mrow> <mi> </mi> </mrow> </mrow> <mrow> <mrow> <mi mathvariant="normal">Z</mi> </mrow> </mrow> <mrow> <mrow> <mi mathvariant="normal">A</mi> </mrow> </mrow> </msubsup> <mi mathvariant="normal">X</mi> </math> undergoes spontaneous decay in the sequence&nbsp; <math> <msubsup> <mrow> <mrow> <mi> </mi> </mrow> </mrow> <mrow> <mrow> <mi mathvariant="normal">Z</mi> </mrow> </mrow> <mrow> <mrow> <mi mathvariant="normal">A</mi> </mrow> </mrow> </msubsup> <mi mathvariant="normal">X</mi> <mo>→</mo> <msub> <mrow> <mrow> <mi> </mi> </mrow> </mrow> <mrow> <mrow> <mi mathvariant="normal">Z</mi> <mo>-</mo> <mn>1</mn> </mrow> </mrow> </msub> <mtext> </mtext> <mi mathvariant="normal">B</mi> <mo>→</mo> <msub> <mrow> <mrow> <mi> </mi> </mrow> </mrow> <mrow> <mrow> <mi mathvariant="normal">Z</mi> <mo>-</mo> <mn>3</mn> </mrow> </mrow> </msub> <mi mathvariant="normal">C</mi> <mo>→</mo> <msub> <mrow> <mrow> <mi> </mi> </mrow> </mrow> <mrow> <mrow> <mi mathvariant="normal">Z</mi> <mo>-</mo> <mn>2</mn> </mrow> </mrow> </msub> <mi mathvariant="normal">D</mi> </math> , where <math> <mi mathvariant="normal">Z</mi> </math> is the atomic number of element <math> <mi mathvariant="normal">X</mi> </math> . The possible decay particles in the sequence are: &lt;!-- [if !supportLineBreakNewLine]--&gt; &lt;!--[endif]--&gt;

Ask & Answer Question

A radioactive nucleus $_{Z}^{A} X$ undergoes spontaneous decay in the sequence $_{Z}^{A} X \to_{Z - 1} B \to_{Z - 3} C \to_{Z - 2} D$ , where $Z$ is the atomic number of element $X$ . The possible decay particles in the sequence are:

Option 1 -

$α, β^{-}, β^{+}$

Option 2 -

$α, β^{+}, β^{-}$

Option 3 -

$β^{+}, α, β^{-}$

Option 4 -

$β^{-}, α, β^{+}$

2 Views | Posted a month ago

Answered by

alok kumar singh | Contributor-Level 10

a month ago

Correct Option - 3

Detailed Solution:

$_{Z}^{A} X \overset{}{\to}_{Z - 1} B \overset{}{\to} Z - 3 \overset{}{\to}_{Z - 2} D$

$β^{+}$ decreases atomic number by 1

$α$ decreases atomic number by 2

$β^{-}$ increases atomic number by 1

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