Question

The volume of a nucleus in an atom is proportional to the

Answer 1

Explanation:

The average radius of a nucleus with A nucleons is R = R0A1/3, where R0 = 1.2*10-15 m. The volume of the nucleus is directly proportional to the total number of nucleons. This suggests that all nuclei have nearly the same density.

Answer 2

The volume of nucleus is directly proportional to mass number.

Explanation:

Suppose , R is the average radius of nucleus

A=Number of nucleons

$R_0=1.2\times 10^{-15} m$

We know that

$R=R_0A^{\frac{1}{3}$

Radius of nucleus is directly proportional to mass number (Number of nucleons).

We know that

Volume of nucleus=$\frac{4}{3}\pi R^3$

Substitute the values

$V=\frac{4}{3}\pi (R_0A^{\frac{1}{3})^3=\frac{4}{3}\pi R^3_0(A)$

$V\propto A$

Therefore, volume of nucleus is directly proportional to mass number.

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