Final answer:
The human ear can differentiate sounds that arrive just 1.00 ms apart, and with a speed of sound at 340 m/s, the minimum distance between two speakers for sounds to arrive at noticeably different times is 0.34 m.
Step-by-step explanation:
The question is asking about the auditory temporal resolution and the perception of sound waves by the human ear. Specifically, it asks for the minimum distance between two speakers in which their respective sounds arrive at the ear at noticeably different times. Given that the human ear is capable of differentiating sounds that arrive just 1.00 ms apart, and the speed of sound is 340 m/s on the given day, we can calculate the necessary minimum distance to perceive a difference in the arrival of sounds.
To find this distance, we use the formula for distance (Distance = Speed × Time). Since the ear can differentiate sounds 1.00 ms apart, we first convert milliseconds to seconds: 1.00 ms = 0.001 seconds. Then, we multiply the speed of sound (340 m/s) by the time (0.001 s) to find the minimum distance: Distance = 340 m/s × 0.001 s = 0.34 m. Therefore, the minimum distance between two speakers necessary for their sounds to arrive at different times to the ear is 0.34 meters.