1. Light is a wave, and it passes through the large slits we call doorways all the time. Yet we never see it diffracting (bending around the doorway corners) because its wavelength is so much smaller than the "slit" (doorway) width. Sketch the intensity of light diffracting through a doorway versus angle, up to a small angle (a few degrees is plenty, and you may use the small-angle approximation). Pick a reasonable ratio of doorway width to wavelength (a/l). What is the largest angle at which any significant light intensity is diffracted? Could you detect this angle of bending