Qstnid -21- From The Relation <I>r </I>= <I>r</i><sub>0</sub><i>a</i><sup>1</sup>/<sup>3</sup>, Where <I>r</i><sub>0</sub> Is A Constant And <I>a </I>is The Mass Number Of A Nucleus, Show That The Nuclear Matter Density Is Nearly Constant (I.e. Independent Of <I>a</i>). - 13: Nuclei - Neet-xii-physics

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NEET-XII-Physics

13: Nuclei

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#21
From the relation R = R₀A¹/³, where R₀ is a constant and A is the mass number of a nucleus, show that the nuclear matter density is nearly constant (i.e. independent of A).

Ans : We have the expression for nuclear radius as:

R = R₀A¹/³

Where,

R₀ = Constant.

A = Mass number of the nucleus

Nuclear matter density,

Let m be the average mass of the nucleus.

Hence, mass of the nucleus = mA

Hence, the nuclear matter density is independent of A. It is nearly constant.