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Atomic nucleus - Wikipedia

The atomic nucleus is the small, dense region consisting of protons and neutrons at the center ... Almost all of the mass of an atom is located in the nucleus, with a very small ... Nuclei which have a single neutron halo include 11Be and 19C. A ... nuclear radius is roughly proportional to the cube root of the mass number (A) of  ...

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Learn about the public debate on banning the burka in Australia in 2014 and ... 1.0 ... 1.0 - ... Understand how Bayes's theorem can make educated mathematical guesses  ...

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Gold - Wikipedia

Gold is a chemical element with the symbol Au (from Latin: aurum) and atomic number 79, making it one of the higher atomic number elements that occur ...

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The Physics of Subatomic Particles

Thus the ratio of the electric charge of these particles to their mass was found to ... Thus we find that an electron rotates about the nucleus of a hydrogen atom in ... atom, in its ground state, has a radius of the first Bohr radius, a„ which i s ... ( meaning that there are thirteen particles in the nucleus of this isotope) . ... 2 .79, N ^ _.

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Given that

Radius gold isotope ^{197}_{79} Au = R_{Au}

Atomic mass of isotope ^{197}_{79} Au, A_{Au} = 197

Radius gold isotope ^{107}_{47} Ag = R_{Ag}

Atomic mass of isotope ^{107}_{47} Ag, A_{Ag} = 107

Step 1: Recall the relation between the radius of the nuclear and atomic mass of isotopes.

Atomic mass is proportional to the cube of nucleus radius.

R^3 \propto A

R \propto A^{\frac{1}{3}}

R_{Au} \propto A_{Au}^{\frac{1}{3}} ........................(1)

R_{Ag} \propto A_{Ag}^{\frac{1}{3}} ........................(2)

From equation (1) and (2) we can write as follows

\frac{R_{Au}}{R_{Ag}} = (\frac{A_{Ag}}{A_{Ag}})^{\frac{1}{3}}

Step 2: Ratio of the radius of the two nuclear of isotopes(Au and Ag).

\frac{R_{Au}}{R_{Ag}} = (\frac{197}{107})^{\frac{1}{3}}

\frac{R_{Au}}{R_{Ag}} = 1.227

Hence, Ratio of the radius of the Au and Au, \frac{R_{Au}}{R_{Ag}} = 1.227