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.

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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For the remaining questions, you need to use Figure 1.4 to obtain the necessary orders of magnitude of lengths, masses, and times.
Roughly how many times longer than the mean life of an extremely unstable atomic nucleus is the lifetime of a human?

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.
Transcribed Image Text: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.
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