Nuclear radius depends on the mass number of the element.1. Write down

1.	Nuclear radius depends on the mass number of the element.1. Write down the expression for nuclear radius.2. Prove that the density of the nucleus is independent of mass number A.
Answer» 1. R = R₀ A^1/3 . 2. Density of nucleus = (mass of the nucleus)/ (volume of the nucleus) \(\frac{mA}{\frac{4}{3}\pi R^3}=\frac{mA}{\frac{4}{3}\pi R^3_0A}\) = \(\frac{m}{\frac{4}{3}\pi R_0^3}\) This shows that nuclear density is independent of mass number.

Nuclear radius depends on the mass number of the element.1. Write down the expression for nuclear radius.2. Prove that the density of the nucleus is independent of mass number A.

Answer»

1. R = R₀ A^1/3 .

2. Density of nucleus = (mass of the nucleus)/ (volume of the nucleus)

\(\frac{mA}{\frac{4}{3}\pi R^3}=\frac{mA}{\frac{4}{3}\pi R^3_0A}\) = \(\frac{m}{\frac{4}{3}\pi R_0^3}\)

This shows that nuclear density is independent of mass number.

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