Answer:
Sun is [tex]0.4162708[/tex] cm away from alpha century.
Sun is [tex]1.391016\times10^{-10}[/tex]m.
Sun is 1.391016 time the size of an atom at this scale.
Step-by-step explanation:
Light year is a measure of distance. It is the distance light travels in an year.
Light year = [tex]9.4607\times10^{12}[/tex] km
So 4.4 light years = [tex]4.4\times9.4607\times10^{12}[/tex] km
[tex]41.62708\times10^{12}[/tex] km
Lets scale this down to the level of [tex]1\times10^{-19}[/tex]
[tex]41.62708\times10^{12}\times1\times10^{-19}[/tex] km
=[tex]41.62708\times10^{-7}[/tex] km
Change the units to centimeters:
[tex]41.62708\times10^{-7}\times1\times10^{5}[/tex] cm
=[tex]41.62708\times10^{-2}[/tex] cm
=[tex]0.4162708[/tex] cm
Therefore on the new scale sun is [tex]0.4162708[/tex] cm away from alpha century.
Diameter of the sun is 1.391016 million km
Lets change Sun's diameter to the new scale:
[tex]1.391016\times10^{6} \times10^{-19}[/tex]km
=[tex]1.391016\times10^{-13}[/tex]km
Lets change kilometers in to meters:
[tex]1.391016\times10^{-13}\times10^{3}[/tex]m
=[tex]1.391016\times10^{-10}[/tex]m
Therefore, sun is [tex]1.391016\times10^{-10}[/tex]m
and an atom is [tex]1\times10^{-10}[/tex]
Therefore the sun is 1.391016 time the size of an atom at this scale.
