The correct answer is
Threonine.
A chiral centre is a carbon atom bonded to four different groups.
For the options given, we examine the structure of each amino acid:
Leucine: (CH3​)2​CH−CH2​−CH(NH2​)−COOH.
Only the
α-carbon is bonded to four different groups, so it has only
one chiral centre.
Valine: (CH3​)2​CH−CH(NH2​)−COOH.
Here again only the
α-carbon is chiral, so it has only
one chiral centre.
Serine: HO−CH2​−CH(NH2​)−COOH.
The
β-carbon bears two identical hydrogen atoms, so it is not chiral; serine has only
one chiral centre.
Threonine: CH3​−CH(OH)−CH(NH2​)−COOH.
Both the
α-carbon (bonded to
NH2​,
COOH,
H and the side chain) and the
β-carbon (bonded to
OH,
H,
CH3​ and the rest of the molecule) are bonded to four different groups.
Therefore threonine possesses
two chiral centres and hence exists as four stereoisomers (
L-threonine,
D-threonine,
L-allothreonine and
D-allothreonine).
Among the given options, only threonine has two chiral centres.