# According to Rutherford's calculations, the radius of the nucleus of an atom is:

1. A

$1×{10}^{-10}m$

2. B

$1×{10}^{-15}m$

3. C

$1×{10}^{-10}cm$

4. D

$1×{10}^{-15}cm$

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### Solution:

The sizes of the nuclei of various elements have been accurately measured after conducting many more iterations of the experiment. Having done this, a formula to measure the size of the nucleus was determine

$R={R}_{0}{A}^{\frac{1}{3}}$

Where R0 = 1.2×10-15m.

From the formula, we can conclude that the volume of the nucleus which is proportional to R3 is proportional to A (mass number).

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