JEE Advanced levelSingle correct optionDifficulty 3 of 3df200
For which of the following pairs of ions is the spin-only magnetic moment identical? (Atomic numbers: Ce 58, Nd 60, Sm 62, Eu 63, Gd 64, Dy 66, Ho 67)
ASmX3+ and DyX3+
BCeX3+ and PrX3+
CEuX3+ and GdX3+
DNdX3+ and HoX3+
Answer: A
SmX3+ is 4f5 (5 unpaired) and DyX3+ is 4f9: seven electrons singly and two paired, leaving 5 unpaired. Both give 35=5.92 BM. In the other pairs the unpaired counts differ: Eu/Gd 6 and 7, Ce/Pr 1 and 2, Nd/Ho 3 and 4.