I found an answer from en.wikipedia.org

**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 ^{11}Be and ^{19}C. A ...
nuclear **radius** is roughly proportional **to** the cube root of the **mass number** (A) of
...

For more information, see **Atomic nucleus** - Wikipedia

I found an answer from www.britannica.com

https://www.britannica.com/video/193361/pieces-olive-industry ...

Learn **about** the public debate on banning the burka in **Australia** in 2014 and ...
1.0 https://cdn.britannica.com/78/82478-138-**197D3109**/fishes-relationships- ...
1.0 https://cdn.britannica.com/**79**/110979-138-C6A02173/B-**47A**-Stratojet-bomber
- ... Understand how Bayes's theorem can make educated **mathematical** guesses
...

For more information, see https://www.britannica.com/video/193361/pieces-olive-industry ...

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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 ...

For more information, see **Gold** - Wikipedia

I found an answer from content.wolfram.com

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
^ _.

For more information, see The Physics of Subatomic Particles

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