1. At a particular instant a particle of mass m A = 5 mg and charge of qA = 5
Coul is located at the origin. A second particle of mass m b = 2 mg and
charge of qB = -6 Coul is located at that same instant at a position (-5 m, +3
m) relative to the origin.
You are to finish designing a mass spectrometer to measure the mass of
some unknown atoms. A sketch of the spectrometer is shown below. The atoms
are first singly ionized by removing one electron from each atom. They are then
accelerated between Plates 1
Design lenses out of glass with an index of refraction of 1.5 with the following
characteristics. To design a lens, you must specify the radii of curvature of the two
surfaces.
a) a positive lens with f = +10 cm, shaped like a "football"
b) a positive len
5. Consider two charges (same as for problem S-4): qA has a charge of 5
nCoul and is located at (5 m, 3 m); qB has a charge of -4 nCoul and is
located at (7 m, -2 m).
a) What is the electric potential at the origin due to q A alone?
b) What is the electri
A typical optical fiber has a cylindrical core with an index of refraction of 1.62
wrapped by a cladding jacket whose index of refraction is 1.52. The diameter of
the core is 50 m (microns). Light traveling in air is launched into one end of the
fiber at
a) Design an electric motor that operates at 3000 rpm and delivers an average
power of 186.5 Watts (one-fourth of a horsepower). Do this by specifying the
number of coil windings, the area of the winding core, the current that the motor
draws, and the siz
3.5 Magnesium fluoride (n = 1.38) is often used as an antireflecting coating on
lenses. Find the minimum thickness necessary to use on a glass lens with n =
1.5 so that the loss of light due to reflection is minimized. Since white light is
comprised of a
One of the natural radioactive decay series is the uranium series which begins with
238
U and ends with 206Pb. The half-life for the complete decay sequence is 4.47x109
years. The first decay in the series is the emission of an alpha particle by the
urani
4.1 You are sitting in your room doing physics homework. Your skin temperature
is 95F (a typical skin temperature). Let's say that your skin surface area is
12000 cm2 and that you radiate as a perfect blackbody.
a) At what wavelength does your thermal rad
Design a compound microscope with a total magnifying power of 500x. The
distance between the objective and eyepiece lenses must be between 12 cm and 16
cm. Tell me your design by specifying the following quantities:
total magnification (Mtot)
distance bet