FYKOS Year 30 Series 3 Problem 3 — where's the whistle · FYKOS 30 #30.3.3
Physics · mechanics
Problem
Verca's ears can be aproximated by two point detectors separated by distance d, which can detect incoming sound waves equally well from all directions. Verca can determine the location of a known source extremely well and so, one day, just as she woke up, she asked her friends to test her. However, Verca forgot an earplug in one ear, reducing the intensity in her left ear ktimes. Verca was blindfolded and a source was placed at a position y in front of her and x to her right (or −x to her left). Determine the position ( x′,y′) Verca will point to if she determines the position of the source using the intensity of the sound.