Chapter Assumptions
Unless stated otherwise, use the following indices of refraction
nair = 1.00
nwater = 1.33
nglass = 1.50
Chapter 34 Problems
Conceptual Problems
C.1 Two beams of light, initially in phase, follow
the paths shown. In terms of the wavelength Ȝ,
what is the minimum length d that will result in
complete constructive interference between
the two beams?
Ȝ/6 Ȝ/3 Ȝ/2 3 Ȝ/4
C.2 In a single-slit diffraction pattern, when destructive interference occurs at a dark fringe, does this mean energy has been lost
from the light wave? Explain your answer.
Yes No
C.3 Two beams of light, initially in phase, follow
the paths shown. In terms of the wavelength Ȝ,
what is the minimum length d that will result in
complete destructive interference between the
two beams?
4 Ȝ Ȝ/8 Ȝ/4 3 Ȝ/2
C.4 In the old days before cable television, everyone received broadcast television signals by using an antenna perched on the
television or on the roof. You might think that if you had a clear line of sight to a nearby broadcasting station, you would
always receive a strong signal, but this is not true. Explain why the presence of surrounding buildings, which do not block the
signal but do reflect some of it, might reduce the signal received at a television antenna with a clear line of sight.
C.5 In recent years, cancer researchers have proposed a new way of treating previously inoperable brain tumors. Some
malignant tumors can be destroyed by focusing a narrow, high-energy x-ray beam on them. The beam must have a high
power, but at high intensities, a single beam will destroy healthy tissue in the path to the tumor. At lower powers, a single
beam will keep the healthy cells alive, but it will not kill the cancer cells. In order for the treatment to be effective, a tumor must
receive a full concentration of energy at one instant in time, but healthy cells must never receive the full concentration. How
can this be done?
Section Problems
Section 3 - Michelson interferometer
3.1 You are using a Michelson interferometer to measure the wavelength of the orange-red emission line in the spectrum of the
krypton-86 atom. When the movable mirror is shifted by a distance of 303 nm, the interference between the two beams moves
from constructive to destructive back to constructive. To three significant digits, what is the wavelength of this emission line?
m
(^636) Copyright 2000-2007 Kinetic Books Co. Chapter 34 Problems