## anonymous 4 years ago What is the size of the nucleus of an atom compared to its atomic radius?

1. JamesJ

On an order of magnitude, an atom has a diameter of $d_{atom} = 10^{-10} \ m$ and the nucleus $d_{nucleus} = 10^{-14} \ m$ The ratio of the two is $\frac{d_{atom}}{ d_{nucleus}} = \frac{10^{-10}}{10^{-14}} = 10^4 = 10,000$ Hence a nucleus is 10,000 wider than the nucleus. In terms of volume, this means the atom has $(10,000)^3 = 1,000,000,000$ times more volume than a nucleus. You might also enjoy the first five minutes of this lecture: http://ocw.mit.edu/courses/physics/8-02-electricity-and-magnetism-spring-2002/video-lectures/lecture-1-what-holds-our-world-together/

2. JamesJ

**correction $(10,000)^3 = 1,000,000,000,000$ !!