Final answer:
The psychologist is most likely using the Thematic Apperception Test (TAT), where clients tell stories about ambiguous images to reveal unconscious aspects of their personality.
Step-by-step explanation:
The projective test being used by the psychologist in which his client looks at pictures and tells a story about each one is most likely the Thematic Apperception Test (TAT).
The TAT involves presenting a person with ambiguous images and asking the individual to tell a story about each picture, which is intended to reveal their unconscious desires, fears, and struggles. Other projective tests include the Rorschach Inkblot Test and the Rotter Incomplete Sentence Blank (RISB), but the TAT specifically focuses on story-telling as a response to the images.