Step 1: Conservation of Mass Number
The mass number must be conserved in the reaction. The mass number of the reactant (
1122Na ) is 22. The mass number of the products must also sum to 22:
Mass number of 1022Ne = 22, Mass number of e+ = 0, Mass number of X = 0
Thus, the mass number is conserved:
22 = 22 + 0 + 0
Step 2: Conservation of Atomic Number
The atomic number (or charge) must also be conserved. The atomic number of the reactant (
1122Na ) is 11. The atomic numbers of the products must sum to 11:
Atomic number of 1022Ne = 10, Atomic number of e+ = +1, Atomic number of X = 0
Thus, the atomic number is conserved:
11 = 10 + 1 + 0
Step 3: Identification of X
In beta-plus decay, a proton in the nucleus is converted into a neutron, a positron (e+), and a neutrino (ν). The neutrino is emitted to conserve energy, momentum, and other quantum numbers. Therefore, X must be a neutrino.
Final Answer:
The particle X is a neutrino.
Hence, the correct answer is (A) neutrino.
Mass Defect and Energy Released in the Fission of \( ^{235}_{92}\text{U} \)
When a neutron collides with \( ^{235}_{92}\text{U} \), the nucleus gives \( ^{140}_{54}\text{Xe} \) and \( ^{94}_{38}\text{Sr} \) as fission products, and two neutrons are ejected. Calculate the mass defect and the energy released (in MeV) in the process.
Given: