42. Using the two-dimensional wave interference pattern shown and the two equations involving path difference, complete the following. a) Measure the wavelength of the waves, the distance between the sources, and the path distance from each of the sources to point
P
. Show the complete calculation for wavelength. (3 marks) b) Choose a point on any antinodal line and show the complete calculation for wavelength. ( 3 marks) c) What effect would an increase in frequency have on the interference pattern? (1 mark) d) What effect would decreasing the distance between the wave sources have on the interference pattern? ( 1 mark) e) If the phase of the vibrating sources was changed so that they were vibrating completely out of phase, what effect would this have on the interference pattern? ( 1 mark)