A point source of sound is located somewhere along the x-axis. Experiments show that the same wave front simultaneously reaches listeners at x=-8 m and `x=+2.0 m` A third listener is positioned along the positive y-axis What is her y-coordinate (in m) if the same wave front reaches her at the same instant as it does the first two listeners?

Answer

`4`

Explanation

`t=(8+x)/c=(2-x)/c`
Rightarrow`-6=2x`
`x=-3` m
Rightarrow `t=5/c`
`5 sqrt((3^(2))+y^(2))`
Rightarrow `y=4`