What theory of hearing contends that the perception of a sound's frequency depends on how often the auditory nerve fires?

Answer: The frequency theory of hearing

Explanation:

The frequency theory of hearing states that the rate at which auditory nerve impulses occurs is associated with the frequency of a tone whose pitch is been detected. It simply explains that it is the pulse which travels up to the auditory nerve that carries the sound that we hear for the brain to process and thus there is a match between the pulse rate and the sound being heard. The theory was created by William Rutherford a British Physiologist.