[list=1][*]A textured ceiling tile is designed to cancel sound waves of frequency[i] 1000 Hz[/i].  What depth must the recesses have? Assume the speed of sound in air is 340m/s.[/*][*]What fraction of the intensity of sound of frequency [i]800 Hz[/i] would reflect off the tiles in the previous problem?[/*][*]An aluminum bicycle handlebar is anodized so that it appears red at a wavelength of 610 nm.  What is the thickness of the anodized layer of refractive index 1.6?  The anodizing material has smaller refractive index than the aluminum.[/*][*]A camera has a thin film coating applied to the outer face of its lens.  What is the purpose of this film?[/*][*]If the film in the prior problem has a refractive index of 1.7 while the glass lens has an index of 1.5, what is the thinnest layer that could be applied?  Second thinnest?[/*][*]Laser light of wavelength 600 nm is incident on a double slit (d=0.10 mm) setup (ideal double slit).  A screen is placed 2.0 m away.  How far is the first bright fringe from the central maximum?  What is the distance to the 3[sup]rd[/sup] minimum from center?  What is the width of the central maximum?[/*][*]How many little "bumps" fit between the big peaks of the intensity pattern while using a slit with n=5?  What is the spacing between the big peaks in phase angle in terms of n? [/*][*]In the limit as N becomes large, as in the case of a diffraction grating, what will the pattern look like on a screen? Perhaps use a drawing rather than words.[/*][/list]

[list=1][*]8.6cm[/*][*]9.5%[/*][*]191nm[/*][*]To prevent reflection and send more light through the lens.[/*][*]162nm and 324nm[/*][*]1.2cm; 3.0cm; 1.2cm[/*][*]3 little "bumps"; [math]\delta=2\pi(N-1)[/math] [/*][*]Narrow peaks with essentially darkness between them. The peaks will darken away from the central peak due to the single slit envelope.[/*][/list]