Question

Imagine that treble sounds could travel at 400 m/s, but bass sounds traveled at only 300 m/s. If sound actually behaved that way, and you were listening to a brass band from a distance of 120m, how much delay would you hear between trumpet and tuba notes when they begin a chord together?

Answer 1

`\Delta t = 0.1s`

Step-by-step explanation:

We need to calculate the difference between the times the waves from the bass sounds (
`t_b`) and treble sounds (
`t_t`) take to reach us, that is,
`\Delta t = t_b-t_t`.

Since
`v=(d)/(t)`, then
`t=(d)/(v)` and we can write:

`\Delta t = t_b-t_t=(d)/(v_b) - (d)/(v_t)=d((1)/(v_b) - (1)/(v_t))=(120m)((1)/(300m/s) - (1)/(400m/s))=0.1s`