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²⁹⁰₈₂X α Y e⁺ Z β⁻ P e⁻ Q
In the nuclear emission stated above, the mass number and atomic number of the product Q respectively, are

Asked in NEET 2024 · Q-value, decay and conservation laws

Answer: (2) 286, 81

Step-by-step solution

Idea: an α particle takes 4 off the mass number A and 2 off the atomic number Z. A positron (e⁺) lowers Z by 1; an emitted electron (β⁻ or e⁻) raises Z by 1. None of the three electron-type particles changes A.

α: ²⁹⁰₈₂X → ²⁸⁶₈₀Y

e⁺: ²⁸⁶₈₀Y → ²⁸⁶₇₉Z

β⁻: ²⁸⁶₇₉Z → ²⁸⁶₈₀P

e⁻: ²⁸⁶₈₀P → ²⁸⁶₈₁Q

Mass number 286, atomic number 81.

Why the other options are wrong

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