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The density of nuclear matter is:
- a)independent of the number of nucleons in the nucleus
- b)directly proportional to the number of neutrons in the nucleus
- c)directly proportional to the number of protons in the nucleus
- d)directly proportional to the square of the number of nucleons in the nucleus
Correct answer is option 'A'. Can you explain this answer?
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The density of nuclear matter is:a)independent of the number of nucleo...
Nuclear density is the density of the nucleus of an atom. It is the ratio of mass per unit volume inside the nucleus. Since atomic nucleus carries most of atom’s mass and atomic nucleus is very small in comparison to entire atom, the nuclear density is very high.
The nuclear density for a typical nucleus can be approximately calculated from the size of the nucleus and from its mass. Typical nuclear radii are of the order 10−14 m. Assuming spherical shape, nuclear radii can be calculated according to following formula:
r = r0 . A1/3
where r0 = 1.2 x 10-15 m = 1.2 fm
For example, natural uranium consists primarily of isotope 238U (99.28%), therefore the atomic mass of uranium element is close to the atomic mass of 238U isotope (238.03u). Its radius of this nucleus will be:
r = r0 . A1/3 = 7.44 fm.
Assuming it is spherical, its volume will be:
V = 4πr3/3 = 1.73 x 10-42 m3.
The usual definition of nuclear density gives for its density:
ρnucleus = m / V = 238 x 1.66 x 10-27 / (1.73 x 10-42) = 2.3 x 1017 kg/m3.
Thus, the density of nuclear material is more than 2.1014 times greater than that of water. It is an immense density. The descriptive term nuclear density is also applied to situations where similarly high densities occur, such as within neutron stars. Such immense densities are also found in neutron stars.
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The density of nuclear matter is:a)independent of the number of nucleo...
Density of Nuclear Matter
The density of nuclear matter refers to the mass per unit volume of the nucleus of an atom.
It is independent of the number of nucleons in the nucleus because the volume of the nucleus is proportional to the cube of the radius, while the number of nucleons is proportional to the cube of the radius. Therefore, the density remains constant regardless of the number of nucleons.
The density of nuclear matter is estimated to be around 2.3 x 10^17 kg/m^3, which is much higher than the density of ordinary matter.
The high density of nuclear matter is due to the strong nuclear force that binds the protons and neutrons together in the nucleus.
Conclusion
Therefore, the correct answer to the given question is option 'A', i.e., the density of nuclear matter is independent of the number of nucleons in the nucleus.
The density of nuclear matter refers to the mass per unit volume of the nucleus of an atom.
It is independent of the number of nucleons in the nucleus because the volume of the nucleus is proportional to the cube of the radius, while the number of nucleons is proportional to the cube of the radius. Therefore, the density remains constant regardless of the number of nucleons.
The density of nuclear matter is estimated to be around 2.3 x 10^17 kg/m^3, which is much higher than the density of ordinary matter.
The high density of nuclear matter is due to the strong nuclear force that binds the protons and neutrons together in the nucleus.
Conclusion
Therefore, the correct answer to the given question is option 'A', i.e., the density of nuclear matter is independent of the number of nucleons in the nucleus.
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The density of nuclear matter is:a)independent of the number of nucleo...
Hey mate..
Nuclear density is the density of the nucleus of an atom, averaging about 2.3×1017 kg/m3. The descriptive term nuclear density is also applied to situations where similarly high densities occur, such as within neutron stars.
Hope it helped
Nuclear density is the density of the nucleus of an atom, averaging about 2.3×1017 kg/m3. The descriptive term nuclear density is also applied to situations where similarly high densities occur, such as within neutron stars.
Hope it helped
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The density of nuclear matter is:a)independent of the number of nucleons in the nucleusb)directly proportional to the number of neutrons in the nucleusc)directly proportional to the number of protons in the nucleusd)directly proportional to the square of the number of nucleons in the nucleusCorrect answer is option 'A'. Can you explain this answer?
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The density of nuclear matter is:a)independent of the number of nucleons in the nucleusb)directly proportional to the number of neutrons in the nucleusc)directly proportional to the number of protons in the nucleusd)directly proportional to the square of the number of nucleons in the nucleusCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The density of nuclear matter is:a)independent of the number of nucleons in the nucleusb)directly proportional to the number of neutrons in the nucleusc)directly proportional to the number of protons in the nucleusd)directly proportional to the square of the number of nucleons in the nucleusCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The density of nuclear matter is:a)independent of the number of nucleons in the nucleusb)directly proportional to the number of neutrons in the nucleusc)directly proportional to the number of protons in the nucleusd)directly proportional to the square of the number of nucleons in the nucleusCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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