Verified Solution • 2025–26 Session
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QNEET-2024-Ph-63: NEET 2024 Physics - Class 12 NEET-2024-Ph-63 Solution: \(_{82}^{290}X Y + _{e}^{+} + _{Z}^{P}e + _{Q}\) In the nuclear …
In the nuclear emission stated above the mass number and atomic number of the product Q respectively are 280 81 286 80 288 82 28681
Multiple Choice Options
- A 280, 81
- B 286, 80
- C 288, 82
- D 286, 81
Step-by-Step Verified Solution
To determine the mass number and atomic number of the final product Q in the provided nuclear reactions, we need to analyze the impact of each type of decay (alpha, positron emission, beta-minus decay, and electron capture) on the mass number and atomic number of the initial element X = 82 290 X :
1. Alpha decay ( _ decay): In alpha decay, an alpha particle (which is a 2 4 H e nucleus) is emitted. This reduces the mass number by 4 units and the atomic number by 2 units.
82 290 X _ _ 80 286 Y
2. Beta plus decay (positron emission, e + ): During positron emission, a proton in the nucleus is transformed into a neutron, and a positron is emitted. This decreases the atomic number by 1 but does not change the mass number.
80 286 Y _ e + 79 286 Z
3. Beta-minus decay ( _ _ decay): In a beta-minus decay, a neutron in the nucleus converts into a proton and an electron (beta particle) and an antineutrino are emitted. This results in an increase in the atomic number by 1, while the mass number remains unchanged.
79 286 Z _ _ _ 80 286 P
4. Electron capture ( e _ capture): During electron capture, an atomic electron is absorbed by the nucleus, causing a proton to convert into a neutron. This process decreases the atomic number by 1 without altering the mass number.
80 286 P _ e _ 79 286 Q
From the calculations above, the mass number of Q is 286, and its atomic number is 79. Comparing these values with the multiple choices:
Option A: Mass number = 280, Atomic number = 81
Option B: Mass number = 286, Atomic number = 80
Option C: Mass number = 288, Atomic number = 82
Option D: Mass number = 286, Atomic number = 81
None of these match exactly, implying an error in the problem or the answer options. Based on the correct atomic number calculations and assuming option D is meant to be atomic number 79, then the corrected choice would have been:
D: Mass number = 286, Atomic number = 79