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← JEE Advanced 2017 · Paper 1
ChemistryInteger+3Question 29 of 54

JEE Advanced 2017 · Paper 1, Chemistry question 11

Among HX2\ce{H2}, HeX2X+\ce{He2+}, LiX2\ce{Li2}, BeX2\ce{Be2}, BX2\ce{B2}, CX2\ce{C2}, NX2\ce{N2}, OX2X−\ce{O2-}, and FX2\ce{F2}, the number of diamagnetic species is

(Atomic numbers: H = 1, He = 2, Li = 3, Be = 4, B = 5, C = 6, N = 7, O = 8, F = 9)

Answer and worked solution

Official answer: Bonus: full marks to everyone

Official key: marks to all (a printing inconsistency in this question).

The intended count, from molecular orbital configurations (with ss-pp mixing for BX2\ce{B2}, CX2\ce{C2}, NX2\ce{N2}):

Species Unpaired electrons
HX2\ce{H2} 0
HeX2X+\ce{He2+} 1
LiX2\ce{Li2} 0
BeX2\ce{Be2} 0 (bond order 0)
BX2\ce{B2} 2
CX2\ce{C2} 0
NX2\ce{N2} 0
OX2X−\ce{O2-} 1
FX2\ce{F2} 0

That gives 6 diamagnetic species. The count is 5 if BeX2\ce{Be2}, which does not exist as a stable molecule, is excluded.

Answer: 6 (marks to all)