Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Diffraction occurs for all types of waves, including sound waves.High - frequenc

ID: 1677106 • Letter: D

Question

Diffraction occurs for all types of waves, including sound waves.High - frequency sound from a distant source with wavelength8.45 cm passes through a narrow slit12.5 cm wide. A microphone is placed48.0 cm directly in front of thecenter of the slit, corresponding to point O in thefollowing figure. The microphone is then moved in a directionperpendicular to the line from the center of the slit to pointO. At what distances from O will the intensitydetected by the microphone be zero? + - 1 For the two strips shown, the path difference to P is (a/2) sin theta. When (a/2) sin theta = 1/2, the light cancels at P. This is true for the whole slit, so P represents a dark fringe.

Explanation / Answer

sin(theta) = linda/(a arcsin(linda/a) = theta Xtan(theta)=y