Collected Problems for Test 3

Problem #12 (Due 3/20 Friday by 9:00 a.m.)
Light hitting a polarizer is a mixture of unpolarized light with intensity I₁ and vertically polarized light with intensity I₂. When this mixed beam of light is passed through a polarizer that is vertical, the transmitted intensity is 15.4 W/m²; when the polarizer is at an angle of 54.0^o with the vertical, the transmitted intensity is 8.62 W/m². What is I₁ and I₂?

Problem #13 (Due 3/24 Tuesday by 9:00 a.m.)
a) For an image that is in front of a mirror, is the image distance positive or negative?
b) Given the image distance, what additional information is needed to determine the focal length? Explain.
c) For an inverted image is the image height positive or negative?
d) Given the object and image heights and a statement as to whether the image is upright or inverted, what additional information is needed to determine the object distance?
e) A small statue has a height of 3.5 cm and is placed in front of a concave mirror. The image of the statue is inverted, 1.5 cm tall, and is located 13 cm in front of the mirror. Find the focal length of the mirror.


Problem #14 (Due 3/27 Friday by 9:00 a.m.)
The drawing shows an optical fiber that consists of a core made of flint glass (n_flint = 1.667) surrounded by a cladding made of crown glass (n _crown = 1.523). A beam of light enters the fiber from air at an angle of with respect to the normal. What is if the light strikes the core-cladding interface at the critical angle?



Problem #15 (Due 3/31 Tuesday by 9:00 a.m.)
A movie camera has a converging lens with a focal length of 85.0 mm. It takes a picture of a 154 cm tall person standing 16.0 m away. What is the height of the image on the film? Is the image upright or inverted relative to the object? Give your reasoning and draw a sketch of the light rays for this situation.


Problem #16 (Due 4/3 Friday by 9:00 a.m.)
Two slits are 0.158 mm apart. A mixture of red light (wavelength = 665 nm) and yellow-green light (wavelength = 565 nm) falls on the slits. A flat observation screen is located 2.24 m away. What is the distance on the screen between the third-order red fringe and third-order yellow-green fringe?