Question

In the decay process:
$A\underset{}{\overset{-\alpha }{\to }}B\underset{}{\overset{-\beta }{\to }}C\underset{}{\overset{-\beta }{\to }}D$

• A. $A$ and $B$ are isodiapheres
• B. $A$ and $D$ are isotopes
• C. $B$, $C$ and $D$ are isobars
• D. $A$ and $C$ are isotones

Answer 1

Answer: (A), (B), (C)

The correct options are
A $A$ and $B$ are isodiapheres
B $A$ and $D$ are isotopes
C $B$, $C$ and $D$ are isobars

${}_Z^A\left[A\right]\underrightarrow{-\alpha }{}_{Z-2}^{A-4}\left[B\right]\underrightarrow{-\beta }{}_{Z-1}^{A-4}C\underrightarrow{-\beta }{}_Z^{A-4}D$

$\Rightarrow$A & D are isotopes.

$\Rightarrow$B,C & D are isobars.

$\ast$Isodiaphers have same value of n-p.

For A $\Rightarrow$n-p = A-2Z

For B $\Rightarrow$ n-p = (A-4) -2(Z-2) = A-2Z

$\therefore$A & B are isodiaphers.