The branch of psychology that studies the relation between attributes of the physical stimuli and our sensory experience of those attributes is called .

psychophysics

Explanation: Psychophysics refers to a branch of psychology which deals with the relationship or interaction between physical stimulus or events and their mental impact or phenomena of those stimulus. Psychophysics is aimed at using scientific study in delineating the stimulus-response relationship in human, that is the connection between the mental response evoked when an individual is subjected to a physical stimulus or event.

haile selassie i was the emperor of ethiopia from 1930-1974