Question:
After the emission of a β-particle followed by an α-particle from \(^{214}_{83}\text{Bi}\), the number of neutrons in the atom is:
After the emission of a β-particle followed by an α-particle from \(^{214}_{83}\text{Bi}\), the number of neutrons in the atom is:
Updated On: Jan 10, 2025
- 210
- 128
- 129
- 82
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The Correct Option is B
Solution and Explanation
The atomic number of \(^{214}_{83}\text{Bi}\) is 83, and the mass number is 214.
- Emission of a β-particle: A β-particle emission increases the atomic number by 1 (83 → 84) but keeps the mass number unchanged (214).
- Emission of an α-particle: An α-particle emission decreases the atomic number by 2 (84 → 82) and the mass number by 4 (214 → 210).
The number of neutrons is calculated as:
Number of neutrons = Mass number − Atomic number = 210 − 82 = 128
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