GATE 2024 PH – Question 65
According to the nuclear shell model, the absolute magnetic-moment difference between $^{15}_8\mathrm O$ and $^{15}_7\mathrm N$ in nuclear magnetons is a/3. The integer a is _____
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: 2 to 3
Explanation
Both nuclei correspond to a p1/2 hole. Using the standard rounded spin factors $g_s^p=6,g_s^n=-4$, Schmidt moments are $(4-6)/6=-1/3$ and $4/6=2/3$ nuclear magnetons. Their difference is one, so a = 3.
Official GATE 2024 answer key: https://gate2026.iitg.ac.in/doc/download/2024/PHFinalAnswerKey.pdf