Synchronous Motors
Mostly, synchronous motors are of

Alternator type machines
Induction type machines
Salient pole type machines
Smooth cylindrical type machines

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Synchronous Motors
Synchronous capacitor is

An over excited synchronous motor driving mechanical load
An over excited synchronous motor running without mechanical load
None of the listed here
An ordinary static capacitor bank

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Synchronous Motors
A synchronous motor connected to infinite bus-bars has at constant full load, 100% excitation and unity power factor. On changing the excitation only, the armature current will have

no change of power factor
lagging power factor with over-excitation
leading power factor with over-excitation
leading power factor with under-excitation

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