Doppler geometry, reflected shifts, and model limits

Do the loud and quiet positions in front of two driven speakers follow the path-difference model at more than one frequency? Useful evidence includes position and sound-level data, measured path differences, predicted maxima and minima, residuals, uncertainty, and a stated room-reflection limitation.

This GioPhysics course map is an adaptable learning sequence, not academic credit, accreditation, or a universal university syllabus. Third-semester content is the least standardised of the introductory sequence: departments place oscillations, waves, optics, and thermal physics differently, and the modern-physics units here are a bounded survey rather than a complete course in relativity, quantum mechanics, atomic, nuclear, or particle physics. Follow your institution's published scope, notation, laboratory programme, and assessment rules. A result should be checked against units, signs, limiting cases, and the conditions under which its model was derived.