A radioactive element A disintegrates in the following manner- A B C Dwhich ones of the element A- B- C and D are isotopes and which ones are isobars-

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Standard XII

Physics

Alpha Decay

A radioactive...

Question

A radioactive element $A$ disintegrates in the following manner;
$A - α - ---- \to B - β - ---- \to C - β - ---- \to D$
which ones of the element $A, B, C$ and $D$ are isotopes and which ones are isobars?

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Solution

Let the mass number and atomic number of element $A$ be $M$ and $Z$ , respectively. The following changes shall occur during disintegration:
$_{Z}^{M} A - α - ---- \to_{Z - 2}^{M - 4} B - β - ---- \to_{Z - 1}^{M - 4} C - β - ---- \to_{Z}^{M - 4} D$
$A$ and $D$ are isotopes as both have same value of $Z$ .
$B, C$ and $D$ are isobars as these have same values of atomic mass.

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A radioactive element A disintegrates in the following manner; A−α−−−−−→B−β−−−−−→C−β−−−−−→Dwhich ones of the element A,B,C and D are isotopes and which ones are isobars?

A radioactive element $A$ disintegrates in the following manner;
$A - α - ---- \to B - β - ---- \to C - β - ---- \to D$
which ones of the element $A, B, C$ and $D$ are isotopes and which ones are isobars?