Two identical speakers emitting sound at 550 hz are d = 1.5 m apart. the point of total destructive interference closest to the speakers occurs at a point 4 m to the right and 0.8 m above the line of symmetry, which passes perpendicularly through the line joining the two speakers.
draw a diagram to scale and calculate the velocity of the sound waves using the pythagorean theorem to calculate distances exactly.
explain why the small-angle approximation for total destructive interference is d sin î¸ = (n + â½ ) î» where n is an integer.
use the small-angle approximation of part (b) to calculate the sound velocity. find the percentage difference from your answer in part (a).