The correct option is C Yb
Solution
Analyzing the given options
Option (A)
Automic number of Ce(Cerium) is 58 The electronic configuration of Ce is [Xe]4f15d16s2
So,
Losing two electrons doesn't provide it any extra stability, but on loaing three electrons it attains stability.
Thu, it exhibits +3 oxdation no and is not stable in +2 oxidation state.
Option(B)
Atomic number of EU ( Europium) is 63.
The electronic configuration of Eu is [Xe]4f75d06s2
So, it tends to lose 2 electrons from the outer s-orbital and attain stable half-filled configuration of 4f7
Thus, Eu shows +2 oxidation state as well.
Option (C)
Atomic number of Yb (Ytterbium) is 70.
The electronic configuration of Yb is:
[Xe]4f145d06s2
So Yb tends to lose its 2 electrons from the
outer s−orbital and attain a stable fully-filled configuration.
i.e.,[Xe]4f14
Thus, due to the extra stability of fully-filledconfigurations, Yb exhibit +2 oxidation states
as well
Option(D)
Automic number of Ho ( Holmium) is 67
The electronic configuration of Ho is
[Xe]4f115d06s2, so losing 2 electrons will not provide it any stability. That's why it does not show+2 oxidation state.
Hence , the correct options are (B) and (C).