The molecule in which hybrid MOs involve only one d-orbital of the central atom is:

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Step 1 — Count d-orbitals used in hybridization:

: Ni²⁺ is d⁸; uses dsp² hybridization → 1 d-orbital ✓

: Br has 5 bonds + 1 lone pair = 6 electron pairs → sp³d² hybridization → 2 d-orbitals ✗

: Xe has 4 bonds + 2 lone pairs = 6 electron pairs → sp³d² hybridization → 2 d-orbitals ✗

: Cr uses d²sp³ hybridization → 2 d-orbitals ✗

Step 2: Wait —  uses dsp² (1 d-orbital) AND  uses sp³d (1 d-orbital for 5-coordinate).

Actually  is sp³d² (6 pairs). The molecule with only 1 d-orbital is  if consid

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