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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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Chapter
Section
BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

(a) Show that if you assume the average nucleus is spherical with a radius

r = r 0 A 1 / 3 , and with a mass at A u, then its density is independent at A.

(b) Calculate that density in u/fm3 and kg/m3, and compare your results with those found in Example 31.1 for 56Fe.

To determine

(a)

To Show:

That the nuclear density is independent of the mass number A.

Explanation

Given:

The expression for the radius of an average nucleus

  r=r0A1/3

Formula used:

Density is defined as mass per unit volume.

  ρ=mV

Calculation:

Let the mass of a nucleon be mn . Since the number of nucleons in the nucleus is equal to the mass number A , then the mass of the nucleus is given by

  m=Amn

If the nucleus is assumed to be a sphere of radius r, then the volume V of the nucleus is given by,

  V=43πr3

Since r=r0A1/3

To determine

(b)

The density of nuclear matter in u/fm3 and kg/m3 and compare the values with that obtained for F56e.

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