   Chapter 30, Problem 51PE

Chapter
Section
Textbook Problem

Integrated ConceptsEstimate the density of a nucleus by calculating the density of a proton, taking it to be a sphere 1.2 fm in diameter. Compare your result with the value estimated in this chapter.

To determine

The density of the nucleus by calculating the density of a proton. Consider the photon is a sphere 1.2fm in diameter. Also, compare the result with the value estimated in the chapter.

Explanation

Given Data:

Given that photon is a sphere 1.2fm in diameter.

Mass of proton is 1.67×1027kg

Formula Used:

Density of the proton is given as

ρ=mV

Where ρ= Density of the proton

m= Mass of the proton

V= Volume of the proton

Calculation:

Given that the diameter of proton as

d=1.2fm

Thus, radius of proton is calculated as

r=d2

r=1.2fm2

r=(1.2fm)( 10 15 m 1fm)2

r=0.6×1015m

Given that proton is a sphere, thus volume of sphere is calculated as

V=43πr3

V=43π(0.6× 10 15m)3

V=9.048×1046m3

Thus, we have

m=1.67×1027kg

V=9

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