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Copyright: 1996 - 2024

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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. Dial-up modems blazed along at 14.4 kbps while typing up your telephone line, and a nice lady's voice announced "You've Got Mail" when a new message arrived...

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Numerical Constants

Answers to RF Cafe Quiz #15

RF Engineering Quizzes - RF CafeAll 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!

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Return to RF Cafe Quiz #15

1. To which constant is 6.022*1023/ 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 carbon-12 atoms in 12 grams of unbound carbon-12 in its rest-energy electronic state. So, there are 6.022*1023 carbon-12 atoms in a gram of carbon-12.

2. To which constant is 2.718 assigned?

a) base of natural logarithms

e1 = 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 x-axis, 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 cesium-133 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 ε0. The permittivity of free space (ε0) is related to the speed of light and the permeability of free space (μ0) by the following familiar equation  1/c = √(ε0*μ0)

8. To which constant is 2.998*108 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 (Na), 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 μ0. The permeability of free space (μ0) is related to the speed of light and the permittivity of free space (ε0) by the following familiar equation  1/c = √(ε0*μ0)

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