Length in Meters (m) Masses in Kilograms (kg) Time in Seconds (s) 10-22 s = mean lifetime of very | 10-15 m diameter of proton 10-30 kg = mass of electron %3D unstable nucleus 10-17 s = time for single floating-point operation in a supercomputer 10-14 m = diameter of large nucleus 10-27 kg = mass of proton 10-15 s = time for one oscillation of visible light 10-10 m diameter of hydrogen atom 10-15 kg = mass of bacterium 10-13 s = time for one vibration of an 10-7 m = diameter of typical virus 10-5 kg = mass of mosquito atom in a solid 10-3 s = duration of a nerve impulse |10-2 m = pinky fingernail width 10-2 kg = mass of hummingbird 10° m = height of 4 year old child 10° kg = mass of liter of water 10° s = time for one heartbeat -1 Liter 1 kg Q's 105 s = one day |102 m = length of football field 102 kg = mass of person 107 s = one year 107 m diameter of Earth 1019 kg = mass of atmosphere 1013 m = diameter of solar system 1022 kg = mass of Moon 10° s = human lifetime 1011 s = recorded human history |1016 m = distance light travels in a year (one light-year) 1025 kg = mass of Earth |1021 m = Milky Way diameter 1030 kg 1017 s = age of Earth = mass of Sun 1026 m = distance to edge of 1053 kg = upper limit on mass of 1018 s = age of the universe observable universe known universe Figure 1.4 This table shows the orders of magnitude of length, mass, and time. Prefix Symbol Meaning Prefix Symbol Meaning yotta- Y 1024 yocto- y 10-24 zetta- 1021 zepto- 10-21 exa- E 1018 atto- a 10-18 peta- 1015 femto- f 10-15 tera- 1012 pico- 10-12 giga- 109 nano- 10-9 mega- 106 micro- 10-6 kilo- k 103 milli- 10-3 hecto- h 102 centi- 10-2 deka- da 101 deci- d 10-1 Table 1.2 Metric Prefixes for Powers of 10 and Their Symbols P.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section34.1: Light: One Last Classical Topic

Problem 34.1CE

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Question

For each of the following scenarios, refer to Figure 1.4 and Table 1.2 to determine which metric prefix on the meter is most appropriate for each of the following scenarios. (a) You want to tabulate the mean distance from the Sun for each planet in the solar system. (b) You want to compare the sizes of some common viruses to design a mechanical filter capable of blocking the pathogenic ones. (c) You want to list the diameters of all the elements on the periodic table. (d) You want to list the distances to all the stars that have now received any radio broadcasts sent from Earth 10 years ago.

Length in Meters (m)
Masses in Kilograms (kg)
Time in Seconds (s)
10-22 s =
mean lifetime of very
| 10-15 m
diameter of proton
10-30 kg
= mass of electron
%3D
unstable nucleus
10-17 s = time for single floating-point
operation in a supercomputer
10-14 m =
diameter of large nucleus
10-27 kg = mass of proton
10-15 s = time for one oscillation of
visible light
10-10 m
diameter of hydrogen atom 10-15 kg = mass of bacterium
10-13 s = time for one vibration of an
10-7 m =
diameter of typical virus
10-5 kg = mass of mosquito
atom in a solid
10-3 s = duration of a nerve impulse
|10-2 m = pinky fingernail width
10-2 kg
= mass of hummingbird
10° m = height of
4 year old child
10° kg = mass of
liter of water
10° s = time for
one heartbeat
-1 Liter
1 kg
Q's
105 s = one day
|102 m = length of football field
102 kg
= mass of person
107 s = one year
107 m
diameter of Earth
1019 kg = mass of atmosphere
1013 m = diameter of solar system
1022 kg = mass of Moon
10° s = human lifetime
1011 s = recorded human history
|1016 m = distance light travels
in a year (one light-year)
1025 kg
= mass of Earth
|1021 m = Milky Way diameter
1030 kg
1017 s =
age of Earth
= mass of Sun
1026 m = distance to edge of
1053 kg
= upper limit on mass of
1018 s =
age of the universe
observable universe
known universe
Figure 1.4 This table shows the orders of magnitude of length, mass, and time.

Prefix
Symbol
Meaning
Prefix
Symbol
Meaning
yotta-
Y
1024
yocto-
y
10-24
zetta-
1021
zepto-
10-21
exa-
E
1018
atto-
a
10-18
peta-
1015
femto-
f
10-15
tera-
1012
pico-
10-12
giga-
109
nano-
10-9
mega-
106
micro-
10-6
kilo-
k
103
milli-
10-3
hecto-
h
102
centi-
10-2
deka-
da
101
deci-
d
10-1
Table 1.2 Metric Prefixes for Powers of 10 and Their Symbols
P.

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