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Q. 25

Expert-verified
Found in: Page 1082

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# a. A nucleus has a radius of . What is the density, in , of the nucleus?b. A neutron star consists almost entirely of neutrons, created when electrons and protons are squeezed together under immense gravitational pressure, and it has the density of an atomic nucleus. What is the radius, in km, of a neutron star with the mass of the sun ?

a. The density of the nucleus is

b.

See the step by step solution

## Part (a) Step 1: Given Information

We have given,

We need to find out the density of the nucleus.

## Step 2: Simplify

The nucleus has nucleons, so its mass is

where is the atomic unit of mass (approximate mass of each nucleon).

Since, the volume of nucleus is

Then, The density is

Putting the numerical values in this equation then,

## Part (b) Step 1: Given information

We have given,

A neutron star of density similar the density of nucleus.

We have to find the radius of star if it has mass same as sun.

## Step 2: Simplify

We know that the mass of the sun is and the density of the nucleus in the .

Then the volume will be,