Which of the following transition metal is present in misch metal?

Which element from the following lanthanoids has a half-filled $f$-orbital in its observed and expected electronic configuration?

Determine the correct $(T)$ and incorrect $(F)$ statements from the following:
$(a)$ $Lu^{3+}$ and $Yb^{2+}$ are not paramagnetic.
$(b)$ Sheets are made from mischmetal.
$(c)$ Pipes are made from mischmetal.

The correct basicity order of the following lanthanide ions is

Which of the following exhibits only $+3$ oxidation state?

Arrange $Ce^{3+}$,$La^{3+}$,$Pm^{3+}$,and $Yb^{3+}$ in increasing order of size.