Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.341: Discrete-Time Signal Processing OpenCourseWare 2006 Lecture 5 Sampling Rate Conversion
Reading: Section 4.6 in Oppenheim, Schafer & Buck (OSB).
It is of
Chapter 9 Problem Solutions
1. At what temperature would one in a thousand of the atoms in a gas of atomic hydrogen be in the n=2 energy level? sol g( 2 ) = 8, g (1 ) = 2 Then,
n( 2 ) 1 = = 4 e (2 1)/kT = 4 e 31 /kT n(1 ) 1000
(3/ 4)(13. 6 eV ) 1 (3/ 4)(
Chapter 8 Problem Solutions
1. The energy needed to detach the electron from a hydrogen atom is 13.6 eV, but the energy needed to detach an electron from a hydrogen molecule is 15.7 eV. Why do you think the latter energy is greater? sol The nuclear charge
Chapter 7
1.
Problem Solutions
A beam of electrons enters a uniform 1.20-T magnetic field. (a) Find the energy difference between electrons whose spins are parallel and antiparallel to the field. (b) Find the wavelength of the radiation that can cause the
Chapter 6 Problem Solutions
1. Why is it natural that three quantum numbers are needed to describe an atomic electron (apart from electron spin)? sol Whether in Cartesian ( x, y, z) or spherical coordinates, three quantities are needed to describe the var
Chapter 5 Problem Solutions
1. Which of the wave functions in Fig. 5.15 cannot have physical significance in the interval shown? Why not? Sol Figure (b) is double valued, and is not a function at all, and cannot have physical significance. Figure (c) has
Chapter 4. Problem Solutions
1. The great majority of alpha particles pass through gases and thin metal foils with no deflections. To what conclusion about atomic structure does this observation lead? Sol The fact that most particles pass through undetect
Chapter 3. Problem Solutions
1. A photon and a particle have the same wavelength. Can anything be said about how their linear momenta compare? About how the photon's energy compares with the particle's total energy? About how the photons energy compares w
Chapter 2 Problem Solutions
1. If Planck's constant were smaller than it is, would quantum phenomena be more or less conspicuous than they are now?
Sol Plancks constant gives a measure of the energy at which quantum effects are observed. If Plancks consta
Chapter 1. Problem Solutions
1. If the speed of light were smaller than it is, would relativistic phenomena be more or less conspicuous than they are now?
Sol All else being the same, including the rates of the chemical reactions that govern our brains an
Chapter 10 The Problem Solutions
1. The ion spacings and melting points of the sodium halides are as follows: NaF Ion spacing, nm Melting point, oC 0.23 988 NaCl 0.28 801 NaBr 0.29 740 Nal 0.32 660
Explain the regular variation in these quantities with ha