The radius of an atom is about 10,000 times as large as its nucleus. If the atom were enlarged such that the radius of its nucleus was 1 inch, what would be the radius of the atom in meters? I need the formula to follow so that I can solve this problem.
I may have missed something here but if the radius of the atom is 10,000 times the radius of the nucleus, then if the radius of the nucleus is 1", then the radius of the atom is 10,000". Convert that to meters.
1000
To solve this problem, we can use a proportion to relate the radius of the nucleus to the radius of the atom.
Let's denote the radius of the nucleus as R_nucleus and the radius of the atom as R_atom. We know that the atom's radius is about 10,000 times larger than the nucleus' radius.
So, we can set up the proportion:
R_atom / R_nucleus = 10,000
To find the radius of the atom in meters, we need to convert the given radius of the nucleus from inches to meters.
1 inch is equal to 0.0254 meters (approximately). Therefore, the radius of the nucleus in meters is 0.0254 meters.
Substituting this value into the proportion, we have:
R_atom / 0.0254 = 10,000
Now, we can solve for R_atom by cross multiplying and isolating R_atom:
R_atom = 10,000 * 0.0254
R_atom = 254 meters
So, if the radius of the nucleus is 1 inch, the radius of the atom would be approximately 254 meters.