The ratio of the radii of hydrogen atom and its nucleus is ~ 105. Assuming the atom and the nucleus to be spherical, -Science

The ratio of the radii of hydrogen atom and its nucleus is ~ 105. Assuming the atom and the nucleus to be spherical, -Science
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The atom of hydrogen is assumed to be a sphere. Similarly, the nucleus is also assumed to be a sphere.  Volume of the sphere =34​πr3 Let R be the radius of the atom and r be that of the nucleus. ⇒R=105r Volume of the atom =34​πR3=34​π(105r)3(∵R=105r) =34​πR3×1015 Volume of the nucleus =34​πr3 Ratio of the size of atom to that of nucleus 34​πr334​×1015×πr3​=1015 The atom of hydrogen is assumed to be a sphere. Similarly, the nucleus is also assumed to be a sphere.  Volume of the sphere =34​πr3 Let R be the radius of the atom and r be that of the nucleus. ⇒R=105r Volume of the atom =34​πR3=34​π(105r)3(∵R=105r) =34​πR3×1015 Volume of the nucleus =34​πr3 Ratio of the size of atom to that of nucleus 34​πr334​×1015×πr3​=1015
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