A Speaker Generates a Continuous Tone of 440 Hz

Multiple Choice

A speaker generates a continuous tone of 440 Hz. In the drawing, sound travels into a tube that splits into two segments, one longer than the other. The sound waves recombine before being detected by a microphone. The speed of sound in air is 339 m/s. What is the minimum difference in the lengths of the two paths for sound travel if the waves arrive exactly out of phase at the microphone?

A) 0.10 m
B) 0.39 m
C) 0.77 m
D) 1.11 m
E) 1.54 m