Question

Explain how one gets the information on the size of the nucleus from the shtudy of Geiger- Marsden experiment from relation R=R* A^ 1/3, where R*is constant , A is mass number of nucleus, show that nuclear matter density is independent of A?

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Answer 1

The density is =3/4πR₀³

Explanation:

The radius of nucleus R = R₀ ∛A

Here R is radius and A is the mass number of nucleus

The density of nucleus = mass/volume

= $\frac{A}{\frac{4}{3}\pi r^{3} }$

= $\frac{A}{\frac{4}{3}\pi R_0^{3}A }$  = The A will cancel and density = 3/4πR₀³

Thus density d does not depend upon is independent of A .