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In Both β− and β+ Decay Processes, the Mass Number of a Nucleus Remains the Same, Whereas the Atomic Number Z Increases by One in β− Decay and Decreases by One in β+ Decay. Explain Giving Reason. - Physics

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ConceptAtomic Spectra

Question

In both β and β+ decay processes, the mass number of a nucleus remains the same, whereas the atomic number Z increases by one in β decay and decreases by one in β+ decay. Explain giving reason.

Solution

In β decay, a β particle of zero mass and −1 charge is emitted. The decay process is shown below:

\[^{A}_{z}{X} \to\ ^{A}_{Z + 1}{Y} +\ ^{0}_{- 1}{\beta} + \nu\]
Since the mass of β particle is negligibly small, the mass number of the nucleus remains the same and the atomic number increases by 1 due to the loss of 1 negative charge.
Similarly, for a β+ decay, a β particle of negligibly small and +1 charge is emitted. The decay process is shown below:
\[^{A}_{z}{X} \to\ ^{A}_{Z + 1}{Y} + ^{0}_{+ 1}{\beta} + \nu\]
The mass number remains the same, but here, the atomic number decreases by 1 due to the loss of 1 positive charge.
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Solution In Both β− and β+ Decay Processes, the Mass Number of a Nucleus Remains the Same, Whereas the Atomic Number Z Increases by One in β− Decay and Decreases by One in β+ Decay. Explain Giving Reason. Concept: Atomic Spectra.
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