Turn around vs. turn back

Test No. [color=blue]incompl/inter-34 “Story (3)”, question 5

‘You’ll be like that one day’ she continued, Just you wait’. I turned to apologize.

(a) around
(b) back
© on
(d) against

Test No. [color=blue]incompl/inter-34 “Story (3)”, answer 5

‘You’ll be like that one day’ she continued, Just you wait’. I turned back to apologize.

Correct answer: (b) back

Your answer was: [color=green]correct
[size=200]_________________________[/size]

could it be now “turn around”
or not why?

Well,

If you [color=blue]turn around you only move your body slightly to the side. If you [color=blue]turn back you actually return to the place you were before.[YSaerTTEW443543]

TOEIC short conversations: Negotiating a lower price[YSaerTTEW443543]