The correct options are
B Only Cu2+ shows the formation of precipitate by passing H2S in acidic medium
D Cu2+/Cu has higher reduction potential than Mn2+/Mn (measured under similar conditions)
Cu2+ shows the characteristic green colour in the flame test.
Ksp of CuS < Ksp of MnS. Hence, only Mn2+ shows formation of precipitate by passing H2S in faintly basic medium.
E∘ Cu2+/Cu>E∘ Mn2+Mn