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.
A small bob A of mass m is attached to a massless rigid rod of length 1 m pivoted at point P and kept at an angle of 60° with vertical. At 1 m below P, bob B is kept on a smooth surface. If bob B just manages to complete the circular path of radius R after being hit elastically by A, then radius R is_______ m :