mp 3. | Density of the nucleus. (a) Using the empirical formula for the radius of a nucleus, show that the volume of a nucleus is directly proportional to its nucleon number A. (b) Give a reasonable argu- ment concluding that the mass m of a nucleus of nucleon number A is approximately m = mp4, where m, is the mass of a proton. (c) Use the results of parts (a) and (b) to show that all nuclei should have about the same density. Then calculate this density in kg/m³, and compare it with the density of lead (which is 11.4 g/cm³) and a neutron star (about 10¹7 kg/m³). View Inspector Zoom Share Highlight Rotate Markup JIS.) Search SU

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3. | Density of the nucleus. (a) Using the empirical formula for the
radius of a nucleus, show that the volume of a nucleus is directly
proportional to its nucleon number A. (b) Give a reasonable argu-
ment concluding that the mass m of a nucleus of nucleon number
A is approximately m = mp4, where m, is the mass of a proton.
(c) Use the results of parts (a) and (b) to show that all nuclei should
have about the same density. Then calculate this density in kg/m³,
and compare it with the density of lead (which is 11.4 g/cm³) and a
neutron star (about 10¹7 kg/m³).
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Transcribed Image Text:mp 3. | Density of the nucleus. (a) Using the empirical formula for the radius of a nucleus, show that the volume of a nucleus is directly proportional to its nucleon number A. (b) Give a reasonable argu- ment concluding that the mass m of a nucleus of nucleon number A is approximately m = mp4, where m, is the mass of a proton. (c) Use the results of parts (a) and (b) to show that all nuclei should have about the same density. Then calculate this density in kg/m³, and compare it with the density of lead (which is 11.4 g/cm³) and a neutron star (about 10¹7 kg/m³). View Inspector Zoom Share Highlight Rotate Markup JIS.) Search SU
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