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College Physics

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

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BuyFindarrow_forward

College Physics

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

Integrated Concepts

Estimate 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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