Rutherfords experiment with gold estimated the radius of a gold atom to be approximately 1x10^-9cm. Suppose the radius of the nucleus is the same as a basketball. Would the volume of the atom be bigger or smaller than that of a typical domed athletic stadium. Show a little math to support your answer.
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what is the radius of a gold nucleus?
whats the radius of a basketball?
whats the radius of a stadium?
Well that all the queston tells me.
But from google:
Basketball radius is about 4.4 in.
there is lots of stadiums all different sizes obviously
and the gold nucleus radius is 7.3 x10^-15
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yes in meters my bad
so just take their ratios
nucleus/atom= 7.3 x10^-15 m/1x10^-11 m
basketball/stadium=0.11 m/find this
if the ratio of nucleus/atom is smaller than basketball/stadium, then the atom is bigger than the stadium, relative to the nucleus/basketball.
so i got this: nucleus/atom=7.3x10^-4
and the basketball/stadium= 8.59x10^-4
so now that means the nucleus/atom is smaller
yeah, but not by much, i would say they're almost equal.