Final answer:
The set of quantum numbers (1,0,1/2,1/2) is true and valid as all the individual quantum numbers meet their respective restrictions and conform to the rules for quantum numbers in atomic physics.
Step-by-step explanation:
The set of quantum numbers in question (1,0,1/2,1/2) is indeed a valid set of quantum numbers. In this set, 1 is the principal quantum number (n), 0 is the azimuthal quantum number (l), 1/2 is the magnetic quantum number (ml), and 1/2 is the spin quantum number (ms).
- The principal quantum number (n) must be a positive integer, which it is here.
- The azimuthal quantum number (l) must be an integer in the range 0 to n-1, which holds true as l is 0 and less than n.
- The magnetic quantum number (ml) must be an integer between -l and +l, including 0, which is satisfied here.
- The spin quantum number (ms) must be either +1/2 or -1/2, which is the case in this instance.
Therefore, the statement about this set of quantum numbers existing is true.