Problem 3
Two point sources S₁ and S₂ oscillate coherently in phase at frequency f in a uniform medium where waves travel at speed c, so λ=c/f. At point P their distances are r₁ and r₂. Assume equal amplitudes, no absorption, and phase difference due only to path difference. (a) Find the phase difference at P in terms of Δr=r₂−r₁. (b) State constructive and destructive conditions. (c) As P moves so Δr increases continuously from 0 to 3λ/2, count maxima and minima crossed, including endpoints when applicable. Use SI units throughout and treat components as ideal exactly as specified. State sign conventions when writing equations and retain units in final results.
problems.proof.stepOf
problems.proof.analysis
First identify the system, given quantities, and sign convention; this determines what is conserved or acts on the body. The stated idealizations exclude unmentioned forces or effects.