You have a cheap double-slit that has been giving strange results. You notice that there are not clean "zero" intensity minima between the maxima in the interference pattern. You conclude one of the slits is bigger than the other and aim to find out how much bigger. On a screen, you notice the location of the first order maximum is where you expect, in the center of the screen when the phase difference is zero. The first order max also seems to be as you would expect, with a phase difference of 2?. a) Exactly between the zero and first order maxima, you measure the intensity to be 1/9 of I0, where I0 is the usual definition of completely constructive interference and maximum intensity. What is the phase difference where you measured this reduced intensity? How much bigger is the second slit than the first? b) Calling the amplitude of the smaller slit A, what is the total amplitude at a point where the phase difference is ?/4? You may find a phasor diagram helpful. c) What is the ratio of the intensity at the point in part (b) to the intensity at the central maximum?