A textured ceiling tile is designed to cancel sound waves of frequency 1000 Hz. 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 800 Hz 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 3rd 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.
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";
Narrow peaks with essentially darkness between them. The peaks will darken away from the central peak due to the single slit envelope.
