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Copyright: 1996  2024 Webmaster:
Kirt Blattenberger,
BSEE  KB3UON
RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling
2 MB. Its primary purpose was to provide me with ready access to commonly needed
formulas and reference material while performing my work as an RF system and circuit
design engineer. The World Wide Web (Internet) was largely an unknown entity at
the time and bandwidth was a scarce commodity. Dialup modems blazed along at 14.4 kbps
while typing up your telephone line, and a nice lady's voice announced "You've Got
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Numerical Constants
Answers to RF Cafe Quiz #15 
All RF Cafe Quizzes make great fodder for
employment interviews for technicians or engineers  particularly those who are
fresh out of school or are relatively new to the work world. Come to think of it,
they would make equally excellent study material for the same persons who are going
to be interviewed for a job. Bonne chance, Viel Glück, がんばろう,
buena suerte, удачи, in bocca al lupo, 행운을 빕니다,
ádh mór, בהצלחה, lykke til, 祝你好運.
Well, you know what I mean: Good luck!
Click here for the complete list of
RF Cafe Quizzes.
Note: Some material based on books have
quoted passages.
Return to RF Cafe Quiz #15
1. To which constant is 6.022*10^{23}/ mol assigned?
b) Avogadro's
constant
Avogadro's number is
the number of entities of a substance to make a mole. Avogadro's number is formally defined to be the number of
carbon12 atoms in 12 grams of unbound carbon12 in its restenergy electronic state. So, there are 6.022*10^{23}
carbon12 atoms in a gram of carbon12.
2. To which constant is 2.718 assigned?
a) base of natural logarithms
e^{1} = 2.718281828... The
definition is based on the fact
that the area of the region under the curve of a hyperbola (y=1/x) to the xaxis, between 1 and e, equals 1. That
gives the relationship in calculus where ln(e)=∫1/x*dx,
between x=1 and x=e
3. To which constant is
9,192,631,770
assigned?
b) oscillations of a cesium133 atom in exactly one second
The cesium atom's natural
frequency was formally recognized as the new
international unit of time in 1967: the second was defined as exactly 9,192,631,770 oscillations or cycles of
the cesium atom's resonant frequency.
4. To which constant is 1.616*10^{35} m
assigned?
a) Planck length
The
Planck length is often defined as the shortest possible length, but what it really means if the shortest
possible measurable length. This is because quantum effects significantly distort the measurement of distances
smaller than the Planck length.
5. To which constant is 9.11*10^{28} g
assigned?
c) electron rest mass
I'll let Jorge, of the
Journal of Theoretics
explain it.
6. To which constant is 9.81 m/s² assigned?
c) acceleration of
gravity near Earth's surface
To be more exact, it is the
acceleration of gravity at the
latitude of the Royal Observatory in the U.K.. Due to centrifugal force created by the Earth's rotation about its
axis, the measured force is greater near the poles than near the equator.
7. To which constant is
8.854*10^{12}
F/m assigned?
c) permittivity of free space
This is often written as ε_{0}. The
permittivity of free space (ε_{0}) is related to the speed of light and the permeability of free space (μ_{0})
by the following familiar equation 1/c = √(ε_{0*}μ_{0})
8. To which constant is 2.998*10^{8} m/s assigned to?
d) speed of
light in a vacuum
The speed of light
in vacuum is defined to be exactly 299,792,458 meters per second.
9. To which constant is
1.3807*10^{23} J/K assigned?
a) Boltzmann's constant
The Boltzmann
constant (k) relates energy and temperature at the particle level. Numerically, it is equal to the gas constant
(R) divided by the Avogadro constant (N_{a}), and it appears in equations like for noise in a given
bandwidth (kTB).
10. To which constant is 1.257*10^{6} H/m assigned?
d)
permeability of free space This is often written as μ_{0}. The permeability of free space (μ_{0})
is related to the speed of light and the permittivity of free space (ε_{0}) by the following familiar
equation 1/c = √(ε_{0*}μ_{0}) 
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