Physics 227 HW IV 1 Autumn 2008
Physics 227 - Autumn 2008
HW IV
Due Monday 10/27/08 (Special date)
Note that the first Mid Term exam is Friday 10/24/08.
Example problems: Not to be turned in – solutions can be found at the back of the
book. See also Appendix B to the relevant lecture.
§3.4: 18
§3.5: 16, 20
§3.7: 1, 4
Assigned problems: To be turned in. Problem A below will be graded and be worth
10 points; the exercises assigned in Boas below will be graded and be worth 5 points
each.
§3.4: 16 (Check your results with Mathematica, you may want to make the
requested sketch with Mathematica, but this is not required. )
§3.5: 32, 45 (Check your results with Mathematica in both)
§3.7: 5, 6 (You are encouraged to check your results with Mathematica in both,
but this is not required)
A. (10 points) Think back to Physics 123 (optics) and consider light with wavelength
and frequency
c
passing through a grating with 5 narrow slits a distance a
apart as suggested in the figure (see also the “Optics” discussion on page 79 in Boas).
The vertical lines on the left correspond to
the incident wave fronts, while the arrow
indicates the direction of the ray of light.
The lines to the right indicate the direction
of light rays scattered through the angle
.
The amplitude of the light on a distance
screen, at an angle
from the
perpendicular to the grating, is the sum of
