Answer:
C. lambda
Explanation:
Loudest sound is heard where path difference of sound wave coming from two sources will be either zero or integral multiple of wavelength . Here waves are already out of phase by 180° so at t = 0 , there is a path difference of λ /2 where λ is wavelength . So taking into account this fact , for constructive interference , path difference needed is odd multiple of λ /2
Distance between the sources = 1.5 λ .
If we place the microphone at λ , path difference between the waves coming from two sources reaching microphone = λ - 0.5λ = 0.5λ . Hence at the point constructive interference will take place .