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Show that nuclear density of matter in nuclei is independent of mass number A.

Show that nuclear density of matter in nuclei is independent of mass number A.

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2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
3 years ago
576-334_1.PNG
MANTHAN RAO
46 Points
3 years ago

AMSWER)

  • Density is mass/volume,considering the mass of each nucleon is m and mass number is A(number of nucleons ) then total mass of nuclear matter is mA.
  • Now, volume of nucleus,considering it to be perfect sphere is 4/3 x3.14 x r^3.
  • nuclear radius is dependent on the cube root of A i.e A^1/3.
  • so r^3 is dependent on A.
  • hence nuclear volume is also dependent on A.
  • both nuclear mass and volume is dependent on A,so when you divide them to find the nuclear density , it becomes independent of A..

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