Question

Your ear is capable of differentiating sounds that arrive at each ear just 0.34 ms apart, which is useful in determining where low frequency sound is originating from. (a) Suppose a low-frequency sound source is placed to the right of a person, whose ears are approximately 18 cm apart, and the speed of sound generated is 340 m/s. How long is the interval between when the sound arrives at the right ear and the sound arrives at the left ear

Answer 1

Δt = 5.29 x 10⁻⁴ s = 0.529 ms

Step-by-step explanation:

The simple formula of the distance covered in uniform motion can be used to find the interval between when the sound arrives at the right ear and the sound arrives at the left ear.

`\Delta s = v\Delta t\\\\\Delta t = (\Delta s)/(v)`

where,

Δt = required time interval = ?

Δs = distance between ears = 18 cm = 0.18 m

v = speed of sound = 340 m/s

Therefore,

`\Delta t = (0.18\ m)/(340\ m/s)`

Δt = 5.29 x 10⁻⁴ s = 0.529 ms